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John H. (John Henry) Walsh.

# An arithmetic for upper grades

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UNIVERSITY OF CALIFORNIA

DE

No. 2

)N

wi^'^Ml

AN -ARITHMETIC

BY

JOHN H. WALSH

ASSOCIATE CITY SUPERINTENDENT OF SCHOOLS
THE CITY OF NEW YORK

:>^o^

BOSTOX, U.S.A.
D. C. HEATH & CO., PUBLISHERS

1908

By JOHN H. WALSH.

PREFACE.

An Arithmetic for Upper Grades, while intended chiefly
for pupils of the last two years of the elementary school,
has been arranged to include the work of the sixth grade.

The seventh year portion comprises a simple, but system-
atic, treatment of commercial arithmetic, including per-
centage with its several applications, and" elementary
exercises involving the employment of common business
forms. This is preceded by reviews of fractions and deci-
mals, and is followed by miscellaneous problems, oral and
written.

The eighth year section contains the remaining topics
of the ordinary course, prefaced by a review of compound
denominate numbers and simple measurements. The mis-
cellaneous problems that immediately follow are limited
to the subjects treated in this portion, so as to be available
for use in such schools as teach the seventh and eighth
grades in combined classes alternating the work of each
year.

A scientific treatment of numbers and processes is next
presented, which may be taken up at any stage. The mis-
cellaneous reviews that follow cover all the ground previ-
ously studied.

In many schools whose courses of study require an ad-
vanced text-book in the sixth year, it is customary to begin
the arithmetic work of this grade with the development of
formal definitions, principles, rules, etc. In this case, the
section on numbers and processes should first be taken up,
then the fraction and decimal reviews; followed by the
reviews of compound numbers and measurements.

54W1

CONTENTS.

CHAPTER I.

PAGES

Review of Fractions ........ 1-24

Review of Fractions; Type Problems; Review of Deci-
mals.

CHAPTER II.

Percentage 25-75

Finding the Percentage, the Base, and the Rate ; Amount
and Difference ; Profit and Loss ; Commission and Broker-
age ; Insurance ; Taxes and Duties ; Stocks and Bonds ;
Commercial Discount.

CHAPTER III.

Applications of Percentage involving the Element of

Time 70-113

Interest ; Partial Payments ; Compound Interest ; Annual
Interest ; Present Worth ; To find the Bank Discount ; Prob-
lems in Interest and Bank Discount.

CHAPTER IV.

Business Forms and Usages; Review .... 114-140

Transmission of Money ; Bank Drafts ; Foreign Ex-
change ; Bills and Accounts ; Miscellaneous Drills.

CHAPTER V.

Denominate Numbers ; Measurements .... 141-178

Review of Denominate Numbers ; Standard Time ; Longi-
tude and Time ; Area of Rectangles ; Volume of Rectangular
Solids ; Board Measure ; Masonry and Brickwork ; Painting
and Plastering ; Roofing and Flooring ; Carpeting and
Papering ; The Metric System.

v

vi Contents

CHAPTER VI.

PAGES

Ratio and Proportion ; Powers and Roots . . . 179-206
Arithmetical Analysis ; Analysis by Aliquot Parts ; Ratio ;
Inverse Ratio ; Proportion ; Partitive Proportion ; Partner-
ship ; Powers ; Roots ; Applications of Powers and Roots.

CHAPTER VII.

Mensuration ; Miscellaneous Problems . . . 207-245

Areas of Plane Surfaces ; Area of a Polygon ; Area of a
Regular Hexagon ; United States Public Lands ; Circum-
ference and Area of a Circle ; Prisms ; Cylinders ; Pyramids
and Cones ; The Sphere ; Miscellaneous Problems.

CHAPTER VIII.

General Review . . . ... . . . 246-298

Numbers ; Notation and Numeration ; Reductions ; Fac-
tors and Multiples ; The Fundamental Processes : Addition,
Subtraction, Multiplication, Division ; Miscellaneous Prob-
lems.

AN ARITHMETIC FOR UPPER

CHAPTER I.

REVIEW OF FRACTIONS.

1. As a preliminary to the regular percentage work of
the seventh year, it will often be found profitable to give a
short time to the review of fractions, common and decimal.
At intervals throughout the year, a few minutes of an arith-
metic period should be spent in rapid oral reviews, employ-
ing the drills and the sight exercises of this chapter.

Drill Exercises.

Note. The fractions in the answers should be given in their low-
est terms.

1.

l

3

2.

2.
5

3.

4
9

4.

2
5

5.

2
9

6.

4
9

1
3

1

1
9

2

2
9

4
9

7.

2
3

8.

3
5

9.

5

9

10.

1

3

11.

4
5

12.

8
9

1
3

5"

4
9

2
3

3
5

5
9

3.

31

14.

41

15.

U 9

16.

H

17.

61

18.

°9

1

• "3

1

5

1
9

1

2
9

4

9

.9.

°3

20.

6f

21.

QA

J 9

22.

6^

u 3

23.

64

5

24.

13|

1
3

2
~5

4
9

2
3

3
5

3

9

2 . - Arithmetic

'

25.

4!

^3

26.

H

27.

^9

28.

H

29.

8^-

°9

30.

U 9

^3

H

2*

H

n

94
J 9

31.

42

^3

32.

n

33.

»f

34.

^3

35.

n

36.

2*

3 1

^3

H

41

* 9

8f

64

3f

37.

1
4

38.

H

39.

5

8

40.

5 T V

41.

3

8

42.

^4
°9

1
4

1

6

^1

^8

9- 1 -
^12

3

8

2
9

43.

3
1

44.

^12

45.

7
8

46.

Q8
°9

47.

7
1

48.

^T2

°1

Q 5

°T2"

5
8

7
9

Q_9_
°l

71i

' 12

3. Subtract;

13

19

25.

4

5

JL

5

2.

7
9

5
9

3.

6f

2
5

4.

8^-

°9
4
9

5.

74

'"5

2!

6.

8

8.

6

9.

7

10.

4

11.

6

12.

8

1
1

2
5

5
9

Q2

^3

5*

7^-
1 9

.

8

14.

6

15.

7

16.

9

17.

'6

18.

8

H

H

1^

Q2

H

95

~9

H

20.

H

21.

71
4 9

22.

91
,; 3

23.

6*

24.

8^

°9

if

H

1^

3|

4f

Z 9

.

5
6

26.

7
8

27.

7
9

28.

ItV

29.

9|

30.

8^-
°9

1
6

5
8

4
9

5
1 2

1
8

2
9

4.

Multiply

:

l.

ix

2

2.

3x

1
4

3.

iof

4

4.

5

x*

5.

*X

9

6.

17 x

1

8

7.

iof 23

8.

31

x tV

9.

|x

2

10.

3x

2

7

11.

f of

5

12.

7xf

Review of Fractions
Multiply :

13.

H

14. 51

15.

n

16.

9 1

17. 84

2

3

4

5

6

18.

92
2

19. 5f
3

20.

7^

' 8

5

21.

Q2

8

22. 91

7

23.

i°f

2

24.

3

25.

i

8

X 4

26.

6xi

27.

iof

4

28.

6

xi

29.

i

8

Xl6

30.

27xi

31.

lof

6

32.

9

xi

33.

l
8

x20

34.

33 x i

35.

fof

2

36.

3

x|

37.

•5
6

x 3

38.

7x1

39.

f of 15

40.

24

x|

41.

5

8

xl2

42.

3xi

43.

2

44. 51
4

45.

61

u 8

2

46. 7f
3

47- 8,A
6

48.

6

49. 8J

9

50.

Q2

3

51. 4|
4

52. 6|
5

5.

Divide :

l.

2)4 fifths

2.

3)6

sevenths

3

. 4)8 ninths

Note. In dividing i by 2, the pupil may think 2 into 4 fifths, or
i of 4 fifths, or 4 fifths divided by 2. These and the following ex-
amples are placed in the short-division form to lead pupils to refrain,
at times, in written work from changing the mixed number in the
dividend to an improper fraction when the divisor is a whole number.

4.

<)ii

5.

W

6.

m

7.

6)ff

8.

2)44

9.

3)6f

10.

■±M

11.

5)5}

12.

2 )A

13.

31i

14.

4 )i

15.

%

16.

2)12i

17.

3)91

18.

4)161

19.

5)151

Arithmetic

Divide :

20. 6 )181

24. 5)|

28. 4)2j

32. 2)191

36. 2)j

40. 2 )171

44. 6 )431

21. 7 )211

25. 5)21

29. 5)3f

33. 4 )26f

37. 2)11

41. 3 )161

45. 7 )4Qi

22. 8)401

26.

2)1

30.

'6)3*

34.

5)28|

38.

31i

42.

4)191

46.

8)411

23. 9 )631

27. 2)11

31. 7)4j

35. 6 )33f

39. 3)11

43. 5)42|

47. 9 )461

6. Preliminary Exercises.

1. How many baseballs at \$ i each can be purchased
for\$i? For\$l? For \$11?

2. 1)1 3. 1)1 4. 1)11 5. 1)2
7. 1)8 8. 1)20 9. 1)6 10. 1)12

How is the quotient obtained in each case ?

12. f)i 13. 11)11 14. f)| 15. 11)3 16. 1#6

Multiply the divisor and the dividend in each of the five preceding
examples by 2 :

6- i]2J
11. 1)12

17. 3)3 18. 3)3 19. 3)6 20. 3)6

How do the quotients compare in each case ?

21.

)12

7. 1. Divide 12 by If

Proof.

1|)12

x2 x2
3 ^24

8 Ans.

l|x 8 = 12.

2. Divide 21 by f.

Proof.

f)21
x4 x4

28

3)84
28 Ans

x | = 21.

Review of Fractions 5

Note. In mental work it is often convenient to change a fractional
divisor to a whole number by multiplying the divisor by the denomi-
nator of the fraction, the dividend being multiplied by the same num-
ber. Divide the new dividend by the new divisor.

8. Drill Exercises,

Divide :

1. 11)9

6. 21)15

11.

2. 11)15

7. 31)21

12.

3. 11)18

8. 21)27

13.

4. 11)15

9. 31)26

14.

5. 11)20

10. 1|)15

15.

f)12 16. li]7J 21. J)2i

f]12 17. H)8| 22. |)2£

4)12 18. 11)9! 23. |)4J

f)10 19. 1£7J 24. f)5f

|)14 20. 1 1)16| 25. f)6*

9. Oral Problems.

1. A farmer sold 151 cords of wood in January and 10^
cords in February. How many cords did he sell in all ?

2. From a piece of cloth containing 30 yards, 121 yards
are sold. How many yards remain ?

3. A rectangular field is 121 rods long and 1\ rods wide.
How many rods of fence will be needed to inclose it ?

4. How many i-pound packages will 24J pounds of
candv make ?

5. A traveler w r alked 60J miles in 3 days. How many
miles a day did he average ?

6. How many square rods are there in a field 20^ rods
long and 10 rods wide ?

7. Mr. Yates pays % 171 for carpet and \$ 201 for furni-
ture. What is the amount of his bill ?

8. How many minutes are there in 1 of a day ?

9. At 60 pounds per bushel, what will J bushel weigh ?

10. How many yards of cloth at \$ 11 per yard can be
bought for \$12?

6 Arithmetic

10. Written Problems.

1. A boy sold. 16| dozen eggs at one time and 20f dozen
at another time. How many eggs did he sell ?

2. Fin'd the sum of four numbers, two of which are 15 T 4 -
and 19 T 7 5, respectively, the third being equal to the sum of
these two, and the fourth being equal to their difference.

3. Two trains start from the same point and move in
opposite directions, each at the rate of 32i miles per hour.
How far apart are they in 4 hours ? .

4. What is the total weight of 16 barrels of sugar,
averaging 310 J pounds each ?

5. A crop of wheat averaged 121 bushels per acre.
How many acres were required to produce 500 bushels ?

6. How many square rods are there in a rectangular field
160 J- rods by 84 rods ?

7. A train starting at 10.45 a.m. reaches a town 140
miles distant at 2.15 p.m. How many miles per hour does
it average ?

8. If 3 eighths of a number is 147, what is 1 eighth of
the number ? What is the number ?

9. A rectangular lot is 120 feet long. Its width is T 9 7
of its length. How many running feet of fence will be
required to inclose it ? (Make a diagram.)

10. How many gallons are there in 1J barrels of 31^ gal-
lons each ?

11. Sight Exercises.

Note. To accustom the pupils to avoid unnecessary figures, fre-
quent drills in sight and blackboard exercises are important. Pupils
should give orally the answers to the following examples, or should
promptly write the answer to each at a signal, the pupil being ex-
pected to know the answer before beginning to write.

Review of Fractions 7

1. 241 4. 172 7 . 48 5

Q3 Kl Ql

°¥ °4 ^3

2. 42f 5. 8 J- 8. 84|f

8i 36f 9i

3. 931 6. 3f 9. 46f

7| 91* 71

12. Blackboard Exercises.

Note. Pupils are expected to write only the answers to the follow-
ing examples, but time should be allowed them to write the total of
each column as they obtain it. These exercises are designed to show
pupils that it is not always necessary to rewrite the fractions with a
common denominator.

1. 241 4. 401 7. 471

6} 281 7|

59\ 51 59^

8. 461
81

39 1

2. 47|

5.

48^

181

321

H

7|

3. 841

6.

9Q1

10|

4of

°T<T

.

»i

13. Sight Exercises.

Subtract :

1. 18}

3.

721

H

21

w 6

2. 541

4.

9T1
^' 2

H

6f

401
_ii

801

71
4 3

8

Arithmetic

Subtract :

7.

36i

8.

62 T V
8*

9.

931.
10i

14. Blackboard Exercises,

Subtract :

1. 841

4.

401

7.

631

29£

16#

27|

2. 90 T V

5.

60f

8.

52 T V

261

23|

341

3. 78^

6.

45- 7 -

^1

9.

93|

39f

18f

471

15. Sight Exercises.

Multiply :

i. m

4.

16

7.

101

8

41

12

2. 20|

5.

24 *

8.

12f

9

_?i

7

3. 21f

6.

48

9.

40f

4

«

Ji

_9^

16. Blackboard Exercises.

Multiply :

1. 1241

4.

304£

7.

251^

7

5.

12

8.

10

2. 320f

423f

9<>9 3

8

6.

2

9.

13

3. 621f

516f

2011

5

5

14

Review of Fractions 9

17. Sight Exercises.

Divide :

1. 2 )261 4. 7 )781 7. 6 )67j

2. 3 )39| 5. 8 )17f 8. 5 )51\$

3. 4 )36f 6. 9)36-^ 9. 4 )27f

18. Blackboard Exercises.
Divide :

1. 2 )2461 4. 5 )8491 7. 8)6491

2. 3)4591 5. 6 )2731 8. 9 )833|

3. 4 )7231 6. 7 )723f 9. 1 0)537f

19. Written Exercises.

Note. Determine the common denominator by inspection.

Find results :

1. 8i + 7L-fl3f + 42f 3. 28f + 45i + 83| + 96i

2. 26J + 30f + 471 + 56| 4. 351 + 56^ + 971 + 4811

5. 19if + 12| + 24|| + 87|

6. 910f-316 T i- 9. 862|-258f

7. 862|-258| 10. 683^-42311

8. 200-V - 103 T V 11. 7091-357^

To multiply two mixed numbers, reduce them to improper
fractions, multiply the numerators together and the denomina-
tors together, and reduce the resulting fraction, if possible.

12. 4|x4f 15. lofxlOf

13. 2^x61 ' 16. 171 x5f

14. 31x51 17. 12JX71

10 Arithmetic

To divide by a fraction, multiply by the divisor inverted.

18. 4f + 4\$ 23. (3f + 5f)x4|

19. 7f+3ft 24. (7^-5f)+4|

20. 5f-*-3£ 25. 6|x(17f + 9f)

21. 16i-^33i 26. (66f-36£)-s-2§

22. 20f-41f 27. (3lx5|)-(7f-3 T y

TYPE PROBLEMS.
MULTIPLICATION OR DIVISION: ONE OPERATION.

20. Preliminary Exercises.

1. At 12 cents per yard, find the cost of 2 yards of dress

goods. Of 2\ yards. Of \ yard. Of J yard.

To indicate the operation required in each case, the sign of multipli-
cation is employed: \2f x 2, VI f x 2|, V2f x \$, 12^ x |.

2. Find the price per yard when 2 yards cost 24 cents.
When 2 1 - yards cost 30 cents. When ^ yard costs 6 cents.
When I yard costs 9 cents.

In each of these examples the price per yard is obtained by dividing
the total cost by the number of yards: 24^ -r- 2, 30 p -*■ 2^, 6^-e-^,
9?-=-f.

21. Oral Problems.

Note. In solving each of the following problems, the pupils should
first state whether it is an example in multiplication or in division.
They may easily determine this by mentally substituting a whole
number for the traction.

1. A 24-acre field is divided into plots of § acre each.
How many plots are there ?

2. At \$J per bushel, find the cost of 56 bushels of
wheat.

3. How many cords of wood in 32 piles containing J
cord each?

Review — Type Problems n

4. If a train goes f mile in a minute, how many minutes
will it take to go 60 miles?

5. A dealer's profit is \ of the cost. What is the cost,
if his profit is \$24?

6. How many f-pound packages can be filled from a
36-pound box of tea ?

7. A drover sells § of his herd of 120 cattle. How
many does he sell ?

8. Nine tenths of the pupils of a certain class are pres-
ent. There are 27 present. How many pupils belong to
the class ?

9. If a man can do two fifths of a piece of work in a
day, how long will it take him to do the whole work ?

Number of days = 1 work -f- f work = \ work -f- f work = 5 -f- 2.

10. How long will it take a pipe discharging f gallon per
second to empty a tank containing 60 gallons ?

22. Written Problems.

Note. Before solving the following problems, the required opera-
tion should be indicated in each case by the use of the proper sign.

1. Into how many building sites of f acre each can a
farm of 192 acres be divided ?

Number of sites = 192 A. -=- 1 A.

2. Find the cost of 784 bushels of wheat at \$ }f per
bushel.

Cost = \$ i| x 784.

3. How many loads, each containing -J cord, are there in
336 cords of wood ?

4. What time will it take a train to go 195 miles at the
rate of f mile a minute ?

5. At 95^ per bushel, how many bushels of wheat can
be bought for \$ 142.50 ?

12 Arithmetic

6. How many bushels of wheat at \$ i| per bushel can
be bought for \$ 1421 ?

7. If it takes J yard of material to make an apron, how
many yards will be required to make 144 aprons ?

8. How many vests can be made from 144 yards of
cloth, if J yard is needed for each ?

9. If three men working together can do ^ + 2*5 + ^V
of a piece of work in a day, how long will they require to
do the whole work ?

10. Find the cost of if acre of land at \$ 256 per acre.

11. If a horse eats § bale of hay in a week, how long
will a bale last ? 32 bales ?

12. A farmer sold his farm for f of its cost, which was
14800. What did he receive for it ?

13. A can do J as much work in a day as B. How many
days would he require to do a piece of work that B could
finish in 105 days ?

14. A and B together can do ^- as much work as B alone.
How many days would both working together require to do
a piece of work which B can do in 105 days ?

15. A dealer's profits average ^^ of the cost of the goods
sold. How much does he gain on goods costing \$ 275 ?

16. If the weight of roasted coffee is JJ of the weight of
unroasted coffee, how many pounds of the latter will be re-
quired to make 221 pounds of roasted coffee ?

Suggestion. In this problem and in the remaining four, the pupil
may use x as follows :

Let x represent the number of pounds of unroasted coffee.
Then, |\$& = 221

OC ^^ — 1 "7* 2o~i ^^C»

17. A certain number multiplied by f gives 115£ as the
result. What is the number?

Review — Multiplication and Division 13

18. What must be the capacity of a bin in cubic feet to
hold 385 bushels of grain, assuming f bushel to a cubic
foot ?

19. A man sold articles for ij of the cost, receiving for
them \$ 255. What was the cost ?

20. Five ninths is § of what fraction ?

MULTIPLICATION AND DIVISION.

23. Oral Problems.
Un ita ry Analys is.

1. If 2 yards f calico cost 16 cents, what will 3 yards
cost ?

First find the cost of 1 yard.

2. Find the cost of 21 yards of dress goods at the rate
of 40 cents for 4 yards.

3. If 5 men require 40 days to do a piece of work, how
long would it take 8 men to do it ?

4. A can mow J of a field in 9 days. How many days
would he require to mow -| of it ?

5. If it requires 100 rods of wire for a fence 4 strands
high, how many rods would be needed for a 5-strand fence
of the same length ?

6. If a man can walk 20 miles in 5 hours, in how many
hours can he walk 12 miles ?

7. To paint a house requires 4 men 12 days. How long
would it take 6 men ?

8. A train goes 16 miles in 30 minutes. How many miles
will it go in 1^ hours ?

9. To build a bridge required the labor of 10 men for
24 days. How many men could complete it in 16 days ?

10. If 12 acres produce 36 tons of hay, how many tons
will 32 acres produce at the same rate ?

14 Arithmetic

Ratio Method.

11. At the rate of 75 cents per dozen bunches, what will
be the cost of 4 bunches of rhubarb ?

4 is ^ of a dozen.

12. If a certain amount of hay will last 14 horses 4-£
months, how many horses will eat it in 11 months ?

4| months is 3 times 1^ months.

13. What will be the cost of 13 pounds of coffee at the rate
of \$ 27.90 for a bag of 130 pounds ?

14. If a 60-foot rail weighs 560 pounds, what will be the
weight of a piece 15 feet long ?

15. If 31 acres produce 400 bushels of wheat, what will
be the yield of 93 acres at the same rate?

16. Seven cords of beech produce as much heat as 9 cords
of pine. How many cords of pine will produce as much
heat as 35 cords of beech ?

17. If 24 reams of paper are used in printing 900 copies
of a book, how many reams will be required for 300
copies ?

18. A farmer finds that he has obtained 82 bushels of
corn from 30 shocks. What will be the yield from 90
shocks at the same rate?

19. If 9 cords of wood are required to make 8 tons of
paper, how many cords will be required to make 72 tons ?

20. Mr. Freeman paid \$ 10,000 for a farm of 160 acres.
He agrees to sell a portion of it at the rate paid for the
whole. What should he receive for 32 acres ?

24. "Written Problems.

1. If 28| acres yield a profit of \$230, what will be the
profit on 37£ acres at the same rate?

Review — Multiplication and Division 15

28f A. yield \$230.
\$230

1 A. yields

28|

37i A. yield \$280 x 37 i

2 J 28£

Reducing the mixed numbers to improper fractions, we have,

\$230x4x75. Cancel.
115 x 2

2. If 16 men require 31i days to do a piece of work,
how long will it take 28 men to do it?

16 men require 31 \ da.
1 man requires 31^ da. x 16.

28 men require 3 H da * * 16 .

28

Number of days = Cancel.

2 x 28

3. If 4^ times a certain number is 221, what is 12} times
the same number ?

4. Find the cost of 9 pairs of stockings at the rate of
\$2.80 per dozen pairs.

5. How many bushels of oats at 32 pounds per bushel
will be equal in weight to 2400 bushels of corn weighing
56 pounds per bushel ?

6. What is the value of 579 (German) marks in (French)
francs, the latter being worth 19 T 3 7 cents in United States
monev, and the former 234 cents ?

7. If \$ 600 yield \$ 30 interest in a year, how much
interest should \$ 720 yield in the same time ?

8. What will be the cost of 7000 pounds of coal at
\$ 4.48 per long ton of 2240 pounds ?

9. A train requires 18 hours (running time) to cover a
certain distance w r hen going at the rate of 24^ miles per
hour. How long will it take if it travels 30J miles per hour?

10. If J of an acre of land shows a profit of \$ 15.80, what
is the profit on 2\ acres at the same rate ?

1 6 . Arithmetic

25. Oral Exercises.

1. What is i of 12? } of 24? fof48? £ of 100?

2. Six is \ of what number? (6 = % x.) 8 is J of what ?
12 is \ of what? 20 is \ of what?

3. Sixteen is \ of what number? 16 is f of what?
36 is \ of what? 36 is i of what ? 36 is £ of what? 36 is
| of what? 60 is \ of what? 60 is f of what? 60 is f
of what? 60 is i of what?

4. Twelve is what part of 24? 8 is what part of 24?
16 is what part of 24 ? 6 is what part of 24 ? 18 is what
part of 24 ? 4 is what part of 24 ? 20 is what part of 24 ?

5. One fourth is what part of i? \ is what part of i?
i is what part of i? i is what part of |? T ^ is what part
ofi?

26. Oral Problems.

1. A farmer sold f of a flock of 72 sheep. How many
did he retain?

2. Two thirds of A's farm is under cultivation. The
remainder of the farm contains 75 acres. How many acres
are under cultivation?

3. A man can do | of a piece of work in a day. How
many days will it take him to do a piece thrice as great?

4. I insure my house for | of its value, or \$ 1600. What
is the value of my house?

5. One ninth of' the pupils of a certain class were absent
on a stormy day. Twenty-four were present. How many
pupils belonged to the class ?

6. Mr. Jonas raised 600 bushels of wheat. He sold 450
bushels. What part of his crop did he sell? What part
did he retain ?

Review — Multiplication and Division 17

7. In an orchard, three quarters of the trees are apple
trees, and the remaining 90 are cherry trees. How many
apple trees in the orchard?

8. After traveling f of his journey, a passenger has still
to go 240 miles. What distance has he already traveled?

9. Seven ninths of the cargo of a vessel consists of 630
tons of wheat. How many tons of cargo in the vessel?

10. If silk sells for \$ J per yard, how much can be bought
for a dollar?

11. What fraction of an hour is 50 minutes?

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