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6. What will 9 pounds of sugar cost at 9 cents a pound ?

7. What is the cost of 7 pounds of butter at 12 cents a
pound ?

8. What is the cost of 12 pounds of tea at 6 shillings a
pound ?

9. What is the cosf of 12 pounds of coffee at 9 cents a
pound ?

10. What is the cost of 11 yards of cloth at 6 dollars a
yard ?

11. What is the cost of 9 books at 11 cents each ?



44 MULTIPLICATION.

12. What is the cost of 12 pencils at 8 cents apiece ?

13. What is the cost of 10 pairs of shoes' at 2 dollars a
pair ?

14. What is the cost of 12 pairs of stockings at 3 shillings
a pair ?

PRINCIPLES AND EXAMPLES

45. Let it bo required to multiply 4 by 3, and also to mul-
tiply 5 by 3.



OPERATION.



li

-t-3 -3



i i i

4 X3 = 1 4



12 Product.



OPERATION.




15 Product.



From the first of these examples we see, that the product
of 4 multiplied by 3, is 12, the number which arises from
taking 4, 3 times ; and that the product of 5 by 3 is equal to
15, the number which arises from taking 5, three times :
hence,

MULTIPLICATION is the operation of taking one number as
many times as there are units in another.

The number to be taken is called the multiplicand.

The number denoting how many times the multiplicand is
taken, is called the multiplier.

The result of the operation is called the product.

The multiplicand and multiplier are called factors, or pro-
ducers of the product.

46. We also see, from the above examples, that 4 taken
3 times, gives the same result as is obtained by adding three
4's together ; and that 5 taken 3 times gives the same result
as is obtained by adding three 5's together : hence,

45. What is Multiplication ? What is the number called which is to
be taken? What does the multiplier denote? What is the result
called ? What are the multiplier and multiplicand called ?

46. What is 4 multiplied by 3 equal to ? What is 5 multiplied by 3
equal to ? How then may multiplication be di -lined ?



SIMPLE NUMBERS. 45

MULTIPLICATION is a short method of addition.

47. The sign x, placed between two numbers, denotes
that they are to be multiplied together. It is called the sign
of multiplication. Also, ( 4 -f 3 ) x 5, denotes that the sum of 4
and 3 is to be multiplied by 5.



9x8= 72.
Ix2x 3= 6.
Ix4x 5= 20.
2x6x 5= 60.
3 x 4 x 9 = how many ?
4x3x11= how many ?

5 x 2 x 9 = how many ?

6 x 2 x 5 = how many ?



7 x 8 = how many ?
1 x 6 x 9 = how many ?
1 x 9 x 12= how many ?



5 x 2 x 11= how many ?
7 x 1 x 12= how many ?
9 x 1 x 9= how many ?

11 x 1 x 7 = how many ?

12 x 1 x 5= how many ?



NOTE. There are three parts in every operation of multiplica-
tion. First, the multiplicand: second, the multiplier: and third,
the product.

48. The product of two factors is the same, whichever be
taken for the multiplier. / (

For, let it be required to multiply 5 by 3.

OPERATION.

ANALYSIS. Place as many 1's in a ,5
horizontal row as there are units in the ,



multiplicand, and make as many rows as Mill!

there are units in the multiplier : the \ |

product is equal to the number of 1's in o -j 1

one row taken as many times as there are ( 1 11 1 1

rows : that is, to x 3=15. JT

But if we consider the number of 1 s in a vertical row to be
the multiplicand, and the number of vertical rows the multiplier,
the product will be equal to the number of 1's in a vertical row
taken as many times as there are vertical rows ; that is, 3 x 5=15 :
and, as the same may be shown for any two numbers,

The product of two factors is the same whichever factor
is used as the multiplier.

47. What is the sign of multiplication ?

NOTE. How many parts are there in any operation of multiplica-
tion ? What are they ?

48. What is the product of 3 by 4 ? Of 4 by 3 ? Is the product
altered by changing the order of the factors ?



4:6 MULTIPLICATION.



EXAMPLES.

3x7 = 7x3 = 21: also, 6x3 = 3x6=18.

9 x 5=5 x 9=45 : also, 8 x 6=6 x 8 = 48.

and, 8x7 = 7x8=56: also, 5x7 = 7x5 = 35.

- 49. When the multiplier does not exceed 12
1. Let it be required to multiply 236 by 4.

ANALYSIS. It is required to take 230 4 OPERATION.
times. If the entire number is taken 4 times, 236
each order of units must be taken 4 times : 4.
hence, the product must contain 24 units, 12 -
tens, and 8 hundreds ; therefore, the product 24 units.
is 944. 12 tens.

It is seen, from the preceding analysis. 8 _ hundreds.
that, 944" Product.

1. If units be multiplied by units, the unit of the product
will be 1.

2. If tens be multiplied by units, the unit of the product
unit be 1 ten.

3. If hundreds be multiplied by units, the unit of the
product will be 1 hundred ; and so on :

And since the product of the factors is the same whichever
is taken for the multiplier (Art. 48), it follows that,

4. If units of the first order be multiplied by units of a
higher order, the units of the product will be the mme as
that of the higher order. /

The operation in the last example may be performed ia
another way, thus :

ANALYSIS. Say 4 times 6 are 24 : set down the OPERATION.
4, and then say, 4 times 3 are 12, and 2 to carry 236

are 14 ; set down the 4, and then say, 4 times 2 are 4

8, and 1 to carry are 9. Set down the 9, and the
product is 944 as before.

The method of carrying is the same as in addition.



(1.) (2.) (3.) (4.)

867901 278904 678741 3021945

1 2 . 3 _J

867901 12087780



SIMPLE NUMBERS. 47

(5.) (6) (7.) (8.)

28432 82798 6789 49604

8 _ _9 11 _ 12

227456 595248

9. A merchant sold 104 yards of cotton sheeting at 9 cents
a yard : what did he receive for it ?

10. A farmer sold 309 sheep at four dollars apiece : how
much did he receive ?

11. Mrs. Simpkins purchased 149 yards of table linen at
two dollars a yard : how much did she pay for it ?

12. What is the cost of 2974 pine-apples at 12 cents
apiece ?

13. What is the cost of 4073 yards of cloth at 7 dollars
a yard ?

14. What is the cost of a drove of 598 hogs at 11 dollars
apiece ?

READING RESULTS.

50. Spelling, IP multiplication, is naming the two factors
which produce the product, as well as the words which in-
dicate the operation ; whilst the reading consists in naming
only the word which expresses the final result.

ANALYSIS. In multiplying 8325 by 6, we say, OPERATION.
6 times 5 are 30 ; then, 6 times 2 are 12 and 3 to 8325

carry are 15 ; 6 times 3 are 18 and 1 to carry are 6

19 ; C times 8 are 48 and 1 to carry are 49.



This is the spelling. The reading consists in pronouncing
only each final word which denotes the result of an operation
thus : thirty, fifteen, nineteen, forty-nine.

With a little practice, the pupils will perform the operations
mentally, and read with great facility, either separately or in
concert in classes.

51. When the multiplier exceeds 12.
i. Multiply 8204 by 603.



49. Explain the multiplication of 336 by 4 ? What principles are
established by this operation ?

50. Explain the manner of reading the results in the operations of
multiplication ?

51. Give the rule for multiplication



48 MULTIPLICATION.



ANALYSIS. The multiplicand is to be taken 603 R90 1
times. Taking it 3 times we obtain 24612.

When we come to take it 6 hundreds times, the _ 5__

lowest order of units will be hundreds: hence, 4, 24612

the first figure of the product, must be written in 10091
the third place.

4947012

NOTE. The product obtained by multiplying by a single figure
of the multiplier, is called a partial product. In the above ex-
ample there are two partial products, 24612 and 49224. The
sum of the partial products is equal to the result or product sought :
hence, the following

RULE I. Write the multiplier under the 'multiplicand,
placing units of the same order in the same column.

II. Beginning ivith the units' figure, multiply the entire
multiplicand by each figure of the multiplier, observing to
write the first figure of each partial product directly under
its multiplier. ,

III. Add the partial products and their sum will be
the product sought.

PROOF.

52. Write the multiplicand in the place of the multiplier
and find the product as before. If the two products are the
same, the work is supposed to be right.

NOTE. This proof depends on the principle that the product of
two numbers is the same whichever is taken for the multiplicand
(Art. 48) ; and also on the fact, that the same error would not be
likely to occur in both operations.

EXAMPLES.

1. Multiply 354 by 267.



Multiplicand,
Multiplier,

Product,


OPERATION.

354
267

"2478
2124

708


PROOF.

267
354


1068
1335
801


94518


94518



52. How do you prove multiplication ?



SIMPLE NUMBERS.



2. Multiply 365 by 84 ; also 37864 by 209.



(2.)
Multiplicand, 365
Multiplier, 84


(3.)
37864
209


(4.)
34293

74


(5.)
47042
91


1460
2920







Product,



30660



4280822



(6.)
46834


679084


(8.)
1098731


(9.)
8971432


406


126


1987


10471


19014604







10. Multiply 12345678 by 32.

11. Multiply 9378964 y 42.

12. Multiply 1345894 by 49.

13. Multiply 576784 by 64.



14. Multiply 596875 by 144.

15. Multiply 46123101 by 72.

16. Multiply 6185720 by 132.

17. Multiply 7 18328 by 96.



18. Multiply five thousand nine hundred and si^ty-five, by
six thousand and nine.

19. Multiply eight hundred and seventy thousand six hun-
dred and fifty-one, by three hundred and seven thousand and
four.

20. Multiply four hundred and sixty-two thousand six hun-
dred and nine, by itself.

21. Multiply eight hundred and forty-nine million, six hun-
dred and seven thousand, three hundred and six, by nine
hundred thousand, two hundred and four.



22. Multiply 679534 by 9185.

23. Multiply 86972 by 1208.

24. Multiply 1055054 by 570.

25. Multiply 538362 by 9258.



26. Multiply 50406 by 8050.

27. Multiply 523972 by 1527.

28. Multiply 760184 by 1615.

29. Multiply 105070 by 3145.



CONTRACTIONS IN MULTIPLICATION.

53. Contractions in multiplication are short methods of
finding the product when the multiplier is a composite num-
ber.



53. What are contractions in multiplication ?
4



50 MULTIPLICATION.

CASE I.

Of Components or Factors.

54. A composite number is one that may be produced by
the multiplication of two or more numbers, which are called
components or factors.

Thus, 2 x 3=6. Hence, 6 is the composite number, and 2
and 3 are its components or factors.

The number, 16=8x2: here 16 is a composite number,
and 8 and 2 are the factors. But since 4 x4=16, we may
also regard 4 and 4 as factors of 16.

Again, 16=8x2, and 8 = 4x9 = 2x2x2: hence,
16=2x2x2x2: therefore, 16 has also four equal factors.

1. What are the factors of 8 ? of 9 ? of 10 ? of 12? of 14?
of 18 ? of 24 ?

2. What are the factors of 20 ? of 21 ? of 22 ? of 26 ; of
25? of 30?

3. What are the factors of 36 ? of 42 ? of 44 ? of 49 ? of
56? of 64? of 72?

4. Let it be required to multiply 8 by the composite num-
ber 6, of which the factors are 2 and 3.



1 1 1 1 1 1 1 1(0 V Q 1*
1111111 l| 2X8=:1 *
1 1 1 1 1 1 1 * '



50 | q (1 1 1 1 1 1 1 l|2 48 24

' -h 1 1 1 1 1 1 1) 9 2

(11111111) 48

If we write 6 horizontal lines with 8 units in each, it is
evident that the product of 8 x 6=48 will express the num-
ber of units in all the lines.

Let us first connect the lines in sets of two each, as at the
right ; the number of units in each set will then be expressed
by 8 x 2=16. But there are 3 sets ; hence, the number of
units in all the sets is 16 x 3 = 48.

54. What is a composite number ? Is 6 a composite number ? What
are its components or factors ? What are the factors of the composite
number 16 ? What are the factors of the composite number 12 ? How
do you multiply when the multiplier is a composite number?



SIMPLE NUMBERS 51

Again, if we divide the lines into sets of 3 each, as at the
left, the' number of units in each set will be equal to
8x's=24, and since there are two sets, the whole number
of units will be expressed by24x2=48.

Since the product of either two of the three factors 8, 3 and
2, win be the same whichever be taken for the multiplier
(48), and since the same principle will apply to that product
and the other factor, as well as to any additional factor, if
introduced, it follows that,

The product of any number of factors will be the same
in whatever order they are multiplied : hence, the following

RULE. I. Separate the composite number into its factors.

II. Multiply the multiplicand and the partial products
by the factors, in succession, and the last product mill be the
entire product sought.

EXAMPLES.

1. Multiply 327 by 12.

The factors of 12 are 2 and 6 ; they are also 3 and 4 ; or
fhey are 3, 2 and 2.

For, 2x6 = 12, 3x4 = 12, and 3x2x2 = 12.



2. Multiply 5709 by 48.

3. Multiply 342516 by 56.

4. Multiply 209402 by 72.



5. Multiply 937387 by 54.

6. Multiply 91738 by 81.

7. Multiply 3842 by 144.



CASE II.

55. When the multiplier is 1, with any number of ci-
phers annexed, as 10, 100, 1000, &c.

Placing a cipher on the right of a number, is called an-
nexing it. Annexing one cipher increases the unit of each
place ten times : that is, it changes units into tens, tens into
hundreds, hundreds into thousands, &c. ; and therefore in-
creases the number ten times.

Thus, the number 5 is increased ten times by annexing one
cipher, which makes it 50. The annexing of two ciphers

55. If yon place one cipher on the right of a number, what effect has
it on its value ? If you place two, what effect has it ? If you place
three ? How much will each increase it ? How do you multiply by
10, 100, 1000, &c ?



52 MULTIPLICATION.

increases a number one hundred times ; the annexing of three
ciphers, a thousand times, &c. : hence the following

RULE. Annex to the multiplicand as many ciphers as
there are in the multiplier, and the number so formed will
be the required product.



EXAMPLES.



1. Multiply 254 by 10.

2. Multiply 648 by 100.

3. Multiply 7987 by 1000.

4. Multiply 9840 by 10000.



5. Multiply 3750 by 100.

6. Multiply 6704 by 10000.

7. Multiply 2141 by 100.

8. Multiply 872 by 100000.



CASE III.

56. When there are ciphers on the right hand of one or
both of the factors.

In this case each number may be regarded as a composite
number, of which the significant figures are one factor, and
1, with the requisite number of ciphers annexed, the other.

1. Let it be required to multiply 3200 by 800-

OPERATION.

3200=32 x 100 ; and 800=8 x 100 ;
Then, 3200 x 800 = 32 x 100 x 8 x 100
= 32x8x100x100
= 2560000.

Hence, we have the following

RULE. Omit the ciphers and multiply the significant
figures : then place as many ciphers at the right hand of
the product as there are in both factors.

EXAMPLES.

(1.) (2.) (3.)

76400 7532000 416000
24 580 357000



133600 148512000000



4. 4871000x270000.

5. 296200x875000.

6. 3456789x567090.



7. 21200x70.

8. 359260x304000.

9. 7496430x695000.



SIMPLE NUMBERS. 53

APPLICATIONS IN MULTIPLICATION.

57. The analysis of a practical question, in Multiplication,
requires that the multiplier be an abstract number ; and then
the unit of the product will be the same as the unit of the
multiplicand.

Thus, what will 5 yards of cloth cost at 7 dollars a yard ?

ANALYSIS. Five yards of cloth will cost 5 times as much as
1 yard. Since 1 yard of cloth costs 7 dollars, 5 yards will cost
5 times 7 dollars, which are 35 dollars.

The cost of any number of things is equal to the price
of a single thing multiplied by the number.

But we have seen that the product of two numbers will be
the same, (that is, will contain the same number of units)
whichever be taken for the multiplicand (Art. 48). Hence,
in practice, we may multiply the two factors together, taking
either for the multiplier, and than assign the proper unit to
the product, We generally take the least number for the
multiplier.

QUESTIONS FOR PRACTICE.

1. There are ten bags of coffee, each containing 48 pounds :
how much coffee is there in all the bags ?

2. There are 20 pieces of cloth, each containing 37 yards,
and 49 other pieces, each containing 75 yards : how many
yards of cloth are there in all the pieces ?

3. There are 24 hours in a day, and 7 days in a week :
how many hours in a week ?

4. A merchant buys a piece of cloth containing 97 yards,
at 3 dollars a yard : what does the piece cost him ?

5. A farmer bought a farm containing 10 fields ; three of
the fields contained 9 acres each ; three other of the fields
12 acres each ; and the remaining 4 fields each 15 acres :
how many acres were there in the farm, and how much did
the whole cost at 18 dollars an acre?

6. Suppose a man were to travel 32 miles a day : how far
would he travel in 365 days ?

56. When there are ciphers on the right hand of one or both the fac-
tors, how do you multiply ?

57. What does the analysis of a practical question require? How do
you find the cost of a single thing ? How may it be done in practice ?



54 MULTIPLICATION.

7. A merchant bought 49 hogsheads of molasses, each
containing 63 gallons : how many gallons of molasses were
there in the parcel ?

8. In a certain city there are 3751 houses. If each house
on an average contains 5 persons, how many inhabitants are
there in the city ?

9. If a regiment of soldiers contains 1128 men, how many
men are there in an army of 106 regiments ?

10. If 786 yards of cloth can be made in one day, how
many yards can be made in 1252 days ?

11. If 30009 cents are paid for one man's labor on a rail-
road for 1 year, how many cents would be paid to 814 men,
each man receiving the same wages ?

12. There are 320 rods in a mile; how many rods are
there in the distance from St. Louis to New Orleans, wind.
is 1092 miles ?

13. Suppose a book to contain 470 pages, 45 lines on each
page, and 50 letters in each line : how many letters in the
book?

14. Supposing a crew of 250 men to have provisions for
30 days, allowing each man 20 ounces a day : how many
ounces have they ?

15. There are 350 rows of trees in a large orchard, 125
trees in each row, and 3000 apples on each tree : how man} 1
apples in the orchard ?

16. What is the cost of 7585 barrels of flour at 7 dollars a
barrel ?

17. If a railroad car goes 27 miles an hour, how far will
it run in 3 days, running 20 hours each day ? How far would
it run if its rate were 37 miles an hour ?

18. If 1327 barrels of flour will feed the inhabitants of a
city for 1 day, how many barrels will supply them for 2
years ?

19. A regiment of men contains 10 companies, each com-
pany 8 platoons, and each platoon 34 men : how many men
in the regiment ?

20. Two persons start from the same place and travel in
the same direction : one travels at the rate of 6 miles an
hour, the other at the rate of 9 miles an hour. If they travel
8 hours a day, how far will they be apart at the end of 17
days ? How far if they travel in opposite directions ?



SIMPLE NUMBERS. 55

21. The Erie railroad is about 425 miles long, and cost 65
thousand dollars a mile : what was the entire cost of con-
struction ?

22. A drover bought 106 oxen at 35 dollars a head ; it cost
him 6 dollars a head to get them to market, where he sold
them at 47 dollars ; did he make or lose, and how much ?

23. The great Illinois Central Railroad reaches from
Chicago to the mouth of the .Ohio river, 815 miles : it cost
23500 dollars a mile : what was its entire cost ?

24. Mr. Denning's orchard is square and contains 36 trees
in a row : each tree yields 4 barrels of apples which he sells
for 2 dollars a barrel : how much does he get for his crop ?

BILLS OF PARCELS.

58. When a person sells goods he generally gives with
them a bill, showing the amount charged for them, and
acknowledging the receipt of the money paid ; such bills are
called Mills of Parcels.

New York, Oct. 1, 1854.

25 James Johnson, Bought of W. Smith.
4 Chests of tea, of 45 pounds each, at 1 doll, a pound.

3 Firkins of butter at 1 7 dolls, per firkiu

4 Boxes of raisins at 3 dolls, per box ...
36 Bags of coffee at 16 dolls, each

14 Hogsheads of molasses at 28 dolls, each -

Amount, dollars.

Received the amount in full. W. Smith

Hartford, Nov. 1, 1854.

26 James Hughes, Bought of W. Jones.

27 Bags of coffee at 14 dollars per bag -
18 Chests of tea at 25 dolls, per chest -
75 Barrels of shad at 9 dolls, per barrel

87 Barrels of mackerel at 8 dolls, per barrel -

67 Cheeses at 2 dolls, each -

59 Hogsheads of molasses at 29 dolls, per hogshead,

Amount, dollars.

Received the amount in full, for W. Jones,

per James Cross.

58. What are bills of parcels ?



56



DIVISION.



DIVISION.

59. 1. How many 1's are there in 1 ? How many in 2 ?
In 3 ? In 4 ? In 5 ?

2. How many 2's are there in 2 ? 2 in 2 how many times ?
2 in 4 how many times ? 2 in 6 how many times ? In 8 ?

3, How many 3's in 6 ? 3 in 6 how many times ? 3 in
9? 3 in 12? 3 in 15? 3 in 18 ?

DIVISION TABLE.



1 in 1 1 time
1 in 2 2 times
1 in 3 3 times
1 in 4 4 times
1 in 5 5 times
1 in 6 6 times
1 in 7 7 times
1 in 8 8 times
1 in 9 9 times


5 in 5 1 time
5 in 10 2 times
5 in 15 3 times
5 in 20 4 times
5 in 25 5 times
5 in 30 6 times
5 in 35 7 times
5 in 40 8 times
5 in 45 9 times


9 in 91 time
9 in 18 2 times
9 in 27 3 times
9 in 36 4 times
9 in 45 5 times
9 in 54 6 times
9 in 63 7 times
9 in 72 8 times
9 in 81 9 times


2 in 2 1 time
2 in 4 2 times
2 in 6 3 times
2 in 8 4 times
2 in 10 5 times
2 in 12 6 times
2 in 14 7 times
2 in 16 8 times
2 in 18 9 times


6 in 6 1 time
6 in 12 2 times
6 in 18 3 times
6 in 24 4 times
6 in 30 5 times
6 in 36 6 times
6 in 42 7 times
6 in 48 8 times
6 in 54 9 times


10 in 10 1 time
10 in 20 2 times
JO in 30 3 times
10 in 40 4 times
10 in 50 5 times
10 in 60 6 times
10 in 70 7 times
10 in 80 8 times
10 in 90 9 times


3 in 3 1 time
3 in 6 2 times
3 in 9 3 times
3 in 12 4 times
3 in 15 5 times
3 in 18 6 times
3 in 21 7 times
3 in 24 8 times
3 in 27 9 times


7 in 7 1 time
7 in 14 2 times
7 in 21 3 times
7 in 28 4 times
7 in 35 5 times
7 in 42 6 times
7 in 49 7 times
7 in 56 8 times
7 in 63 9 times


11 in 11 1 time
11 in 22 2 times
11 in 33 3 times
11 in 44 4 times
11 in 55 5 times
11 in 66 6 times
11 in 77 7 times
11 in 88 8 times
11 in 99 9 times


4 in 41 time
4 in 8 2 times
4 in 12 3 times
4 in 16 4 times
4 in 20 5 times
4 in 24 6 times
4 in 28 7 times
4 in 32 8 times
4 in 36 9 times


8 in 8 1 time
8 in 16 2 times
8 in 24 3 times
8 in 32 4 times
8 in 40 5 times
8 in 48 6 times
8 in 56 7 times
8 in 64 8 times
8 in 72 9 times


12 in 12 *1 time
12 in 24 2 times
12 in 36 3 times
12 in 48 4 times
12 in 60 5 times
12 in 72 6 times
12 in 84 7 times
12 in 96 8 times
12 in 108 9 times



SIMPLE NUMBERS. 57



QUESTIONS.

1. If 12 apples be equally divided among 4 boys, how
many will each have ?

ANALYSIS. Since 12 apples are to be divided equally among
4 boys, one boy will have as many apples as 4 is contained times
in 12, which is 3.

2. If 24 peaches be equally divided among 6 boys, how
many will each have ? How many times is 6 contained in
24?

3. A man has 32 miles to walk, and can travel 4 miles an
hour, how many hours will it take him ?

4. How many yards of cloth, at 3 dollars a yard, can you
buy for 24 dollars ?

ANALYSIS. Since the cloth is 3 dollars a yard, you can buy as
many yards as 3 is contained times in 24, which is 8 : therefore,
you can buy 8 yards.

5. How many oranges at 6 cents apiece can you buy for
42 cents ?

6. How many pine-apples at 12 cents apiece can you buy
for 132 cents ?

7. A farmer pays 28 dollars for 7 sheep : how much is
that apiece ?

ANALYSIS. Since 7 sheep cost 28 dollars, one sheep will cost as
many dollars as 7 is contained times in 28, which is 4 ; therefore,
each sheep will cost 4 dollars.

8. If 12 yards of muslin cost 96 cents, how much does
1 yard cost ?

9. How many lead pencils could you buy for 42 cents, if
they cost 6 cents apiece ?

10. How many oranges could you buy for 72 cents, if they
cost 6 cents apiece ?

11. A trader wishes to pack 64 hats in boxes, and can put
but 8 hats in a box : how many boxes does he want ?

12. If a man can build 7 rods of fence in a day, how long
will it take him to build 7 7 rods ?

13. If a man pays 56 dollars for seven yards of cloth, how
much is that a yard ?



58



DIVISION.



14. Twelve men receive 108 dollars for doing a piece of
work : how much does each one receive ?

15. A merchant has 144 dollars with which he is going to
buy cloth at 12 dollars a yard ; how many yards can he pur-



Online LibraryCharles DaviesSchool arithmetic. Analytical and practical → online text (page 4 of 24)