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d by Google



i







^



Digitized-by VjOOQ



d by Google



^1



TO THE*



WESTERN CA^jCUIjATOB*

CONTAINING

THE SOLUTION OF ALL THE EXaI^PLES AND #
QUESTIONS FOKBJ^CIS^';'/: £. :* : * .

WITH REFERENCE TO THE PAGES WHERE THEY STAND.
TO WHICH IS ADDED,

Some Umtnl Unit*.

ffiSIQNED CfflEFLY TO FACILITATE THE LABOUR OF TEACHERS;

AND AMIBT SC(m AS HAVE NOT THE OPPORTUNITY

or A TUTOR'S AID.



BY JOmr ARMSTRONG.

lU



Chfrt EttitCoit, retofoe* apt corrrftti.



PITTSBURGH:

•BINTJED AND PUBLISHED BY JOHNSTON & STOCKTON,
MARKET STREET.



1831.

tosEPfi frtupttor

Digitized by VjOOQlC



hi •
... .. mi



l^StlHtN pSXRIQT.OF" PENNSYLVANIA, to imi:

# < »»*» ** * * BETT : RfiMfcMBERED, That on the twenty-fourth

*# __ . i. J day of April, in the forty-eighth year of the Independence of
J the United States of America, A. D. 1824, Eichbaum 8f John-



&:*$$$« ston, of the Said district, have deposited in this office the title
•fa book, the right whereof they claim as proprietors in the words follow-
ing, to wit:

"A Key to the Western Calculator, containing the solution of all
the examples and questions for exercise, with reference to the pages
where they stand.— To which is added, some Useful Rules. Design-
ed chiefly to facilitate the labour of teachers; and assist such as Jiare
not the opportunity of a tutor's aid. By John Armstrong."

In conformity to the act of the Congress of the United States, entitled,
"An act for the encouragement of learning, by seeming the copies of
maps, charts and books, to the authors and proprietors of such copies,

during the time therein mentioned." And also to the act, entitled, "Jltt

act supplementary to an act, entitled, "Jin act for the encouragement pf
learning, by securing the copies of maps, charts and books, to the authors
and proprietors of such copies, during the time therein mentioned^ and
extending the beneJUs thereof to the arts of designing, engraving, end
itching historical and other prints."

Wm. WALKER,
Clerk of the Western District of Pennsylvania*

. CAJORI



d by Google



V

i



Numeration - . &

Addition - - - ib.

Subtraction ... 6

Multiplication 7

Division ... 9

Federal Money - 12

Compound Addition - - 13

Compound Subtraction* - - 14

Compound Multiplication 16

Compound Division - - 18

Reduction 23

Addition of Decimals - 30

Subtraction of Decimals 31

Multiplication of Decimals ib.

Division of Decimals - 32

Reduction of Decimals - 33

.Single Rule of Three Direct 37

Single Rule of Three Inverse 41

Double Rule of Three - 47

Practice - - - - 53

Tare and Tret - - 60

Simple Interest - - 6S

Compound Interest - - 6£

Insurance ... ib,

Commission* 69
Brokage - - #.

Buying and Selling Stocks 70

Rebate or Discount - ib.

Bank Discount - - 71

Equation of Payments - 72

; Single Fellowship - ib.

Compound Fellowship - 74

Profit and Loss - • 75



Page.
Barter .... 77

Exchange ... 78

Alligation 80

Reduction of Vulgar Fractions 82
Addition of Vulgar Fractions 86
Subtraction of Vulgar Fractions 88
Multiplication of Vulgar Frac. ib.
Division of Vulgar Fractions 89
Rule of Three in Vulgar Frac. ib.
Inverse Proportion - - 90
Involution ib.

The Square Root - - 91
The Cube Root - - 96
Arithmetical Progression - 102
Geometrical Progression 103
Single Position - - 106
Double Position - - 107
Permutation * - - 111

Combination - - - 112
Duodecimals - - ib.

The Carpenters' Rule - 115
Measuring of Boards, &c. 117



Carpenters' & Joiners' Work 118



Bricklayers' Work - 120

Masons' Work - - ib.

Plasterers' Work - * 121

Pavers' Work - 122

Painters' Work . - 123

Glaziers' Work - - 124

Measurement of Ground ib.

Gauging - 126

Mechanical Powers - ib.

Promiscuous Questions - 127



911389



d by Google



atfQttfrtfcol Jttatfte ana Sfgttff,

«■ The sign of equality, and is pronounced equal.

+ The -sign of addition, pronounced added to.

— The sign of subtraction, pronounced subtracted by.

X The sign of multiplication, pronounced multiplied by.

-f- The sign of division, pronounced divided by.

: : : : The sign of proportion, pronounced is la, so is 9 to.

co Sign of difference, pronounced the difference between.

y/i or £, The sign of the square root.

-f , or 5, The sign of the cube root.

7 2 , Denotes that the number 7 is to be squared.

8 3 , Denotes that the number 8 is to be cubed.

••• That is.

Vinculum, and ( ) parenthesis.

Examples.
12+ 7*=19; twelve added to 7 is equal to nineteen.
23 — 8=15; twenty-three subtracted by eight, equal fifteer

9x8=s725 nine multiplied into eight equal seventy-tw

24-i-3 = 8; twenty-four divided by three equal eight.

Sometimes the division of one number by another, is ex
pressed in the manner of a vulgar fraction; thus V«3,
twenty-seven divided by nine equal three. Multiplication
is also frequently denoted by this mark . thus 7.12=84.
seven into twelve equal eighty-four

6 : 9 :: 8 : 12,« as6isto9 sois8tol2.

A c» Zj read the difference between A and Z.

v/8l=9, or 8U=9$ the square root of 81 equals 9.

10 : 100 ••• I : 10; as 10 is, to 100 that is as 1 is to 10.

A vinculum is placed over several quantities to denote
that they are to be considered as one simple quantity 5 a
parenthesis is often used for the same purpose.



d by Google



1



JOSEPHS HAMMOND



OBSESS! BB



TO THE

WESTERN CALCULATOR.



NUMERATION.


: *


Page a




Example 1. 16 2.


49


Page 9.




385 4. £610 5. 64536


6. 253842


5600086 8. 90000S05 9.


829006002



3.

r.

1. Fire/

2. Seventeen.

3. Thirty-five.

4. Four hundred and fifty-eight

5. Six thousand, eight hundred and twenty-nine.

'6. Seventy-two thousand, three hundred and forty-enht.

7. Three hundred and eighty-four thousand, seven pundred aid

twenty-one.

8. Two millions, six hundred and eighty-three thousand, two

hundred.

9. Fifty millions, six hundred and seventy-eight thousand and

twenty-four.



ADDITION.




Page 10.




2. 1581366 3*


246^7092


4. 2284038452 5.


2263764650


6. 2968194198 7.


5831533360


8. 5075431465 9.


9750563355


10. 36447721180651 11.


3847099705067


!• *?^'





d by Google



6


BUBTRACTJCHir, *






Application.


•


* : \ "'


\y •••"•• ^ a s e n«


-


1; **fs3


' i : i2g '••' . <fott»*


barrels dolls*


• :: :•£$:'


•/;::654 ,*' Ai«s 4


60 for 480


•-:•:<<?•■


* :0OM <*"> - )* 286


75 675


„ 2060


10000 C 29


220 2200


8009574
6


4000000 1)672


126 1386


4018853 8 1112


481bbb.4741dob


8011804


5. 297


6. 1209 . 7* 1811


dolts.


125


476 21


8. Geoifee S560
William 3240


754


8017


127 •


3119221 18312


Samuel 2850


245




Henry 2555




_.


3128923


Thomas 2226


1548


SUBTRACTION.

Page 12.


14431


3. 44064062638


4. 5390534442


5, 5605SS5568O


6. 00900001




Application*




1. 1818


2. 5648


barrels


1777


3460


3. 1260


4!


2188


sells to A 320
B 435

sold in ail 755

unsold 505


4. 600O


cents


cents


600


5. 145


35 penknife


■ ■»


75


25 slate


54Q&


40-


64 pager
30 apples









given him 260


— —




given away 154


154



left ' 106

Digitized by VjOOQ LC



MULTIPLICATION.

MULTIPLICATION.



Cue 1. Page 13.



2. 24639576
4



98558304



476824753
5

2384123765

8.2901946808
9

26117521272



Mult. 5221
by 145

26105
208$4
5221



757045



Mult. 89536925
by 735

447684625
268610775
^6758475

65809639875



#75432668



20403460544



Page 14.

6. 964703024
6



7. 74020006
8



5788218144



592160040



9. 246354276

11

2709897036
Case %

Mult 68523047653
by 2867

479661333571
41113828591^
905569142959
137046095306



162194053794651



Page 15.

Mult. 23430
by 230



5. Mult. 3800920
by 80750



702900
4686

5388900



7. Mult. 78969587
by 5893



236897961
71069388*
631727890
394829935

465346561391



190046000
2660644
30407360

306924290000

8. 1.15
75

675

805

$86.25



1



9. 3950
29

35550
7900
$ 1145,50



10. 40
12



480 pence



d by Google











MULTI*LI0ATI01C.






Case 3. Page 15.




Mult, mm

by 21 3
2613225
7 '


3. Malt. 2453642

by36 $

14721852

4 6


4. Mult. 43102
by 64 8

344816
8



18292575



5. Mult 23645 by 144
12



88331112 2758528



6. Mult 12071 by 99
9



283740
12

3404880



108639
11

1195029







Case 4. Page 16.




2. Mult,
by


3600
400


3. Mult. 44000 4.
by 550000


Mult. 663000
by 6000O


144


0000


220
220


3978000000O




24200000000




Note.


Ex.


1. 200X10 =2000

2. 462X100 =46200

s. 879xiooo«8790oo

Application.




1. 15

25

75
30




2. 125
43

375
500

dolls. 53,75 dolls.


3. 32 cents
440

1280
128


dolls. 375


140,80



4. 60xl25«75,00 wheat 5. 100 6. 32

40x 85=*34,00 rye 10 sub. 20X24=480

S4X 50*»:17,00 com —

- 1000 dimes 12X18=216

8 126,00 amount 10 — -

paces 696

10000 cents

â– 



1



7. 7525
125



8. dolls. £50 A'8
3

75011*8
4

3000. C's

DIVISION.

Case 1.
3. 4)4756394344 4. 5)97036142 5. 8)37846210



37625
15050
7525

940625



gfifoA

750 B

8000 C

4000 altogether



1189098586
6. 12)64381259



5365 1 044 j



divisor dividend quot.

3. 64 ) 29687624 ( 463869

256 64



19407228f
7. 6)3824966
637494f

9) 8297463813
921940423$
Case 2. Page 18.
4.



4730776J

8. 7)46825486
66893551



735)47989536925(65291886 quotient
4410 785



408
384

247
192



1855476
2783214



29687616

8 rem.



3889
367^

12145
1470



326459435 #
195875759
457043209



47989536925 proof



556 29687624 proof
512

442
384

584
576

8 rem.



6753
<5615

*Add in the re-

1386 mainder as yon mul-
735 tiply when working
— — the proof.
6519 .
5880

6392
5880

5125
4410

715 rem.



d by Google



/



10



DIVISION.



Page 18.
f. 2359)40^968967(2084768



4718



2359



18872



18762917
10483845
6254306



11248 4169537
9436



4917968967 proof
18129
16513

16166
14154

20127

18872

1255 rem.

7. 175296)19842712800 ( 113195
175296 175296



231311
175296

560152

525888



679170
1018763
226392
56597$
792373

113195

342640

175296 19842712000



1673440
1577664

957760

876480



6. 671)5374606 (8009
5368 , 671

6608 8018
6039 56069
48059



5374608



8. 108)5704392(52818
540 108



304
216



422552
528184



81280

Case 4. Page 19.
2. 6|00)876|54 3. 8|0)2834|7 4.

146 54 rem. 354 27 rem.



Not*.
2. 1|00)256<54



883 5704392
864

199
108

~912

864

1i



16100)1370(00(85
128

90
80

1000 rem.



3. 11000)8761029 4. H0000)80l0000

or 256 quot. 54 rem, or 876 quot. 29 rem. or 80 quot.
Application.



1. 855)4275(5 boyt
4275



d by Google



DIVISION.



11



3. 28J2072(74
196

112
112



Page 20.

a 75)45000(600
450

00



4. 8164

10 subtract

87)8154(302
81

54

54



5. Here begin with the
150 and work backwards,
thus 5)150

SO

12 subtract



2)18
9 Ans.



6. 13440 dollars

|=S360 eldest son's share
£-=2688 2d son's "

£=2240 3d son's "

}=1920 4th son's "
i =1680 5th son's "

11888 sum of 5 shares



then 13440

11888 subtract



7. 72084J5190048(72
504588

144168
144168



1552 6ft son's share

8. Because A has 10 cents per day more
than B, and B 10 cents per day more than
C, it is evident that A* will get in all 8 dol-
lars more than C, and B 4 dollars more
than C, which together is 12 dollars,
then from 228
take 12



DiTide by the number of persons 3)216



72 C's share

consequently 76 B's share

and 80 A's share



half Eagle 500
half a dollar 50
quarter dollar 25



575 cents



575J1437,50f250
1150

"2875
2875



10.' Captain 6 shares
Mate 4 "
Seamen 40 "

No. of shares 50



Then 5|0)455|O .

dolls. 91 one seamaif* sfev
Now 91x6=546 Capt share
And 91x4=364 date's share



d by Google



12



FEDERAL MOKKT.

FEDERAL MONEY.



ADDITION. Page 22.
2. Dolls. 19520,45 3. Dolls. £04588,001

SUBTRACTION.
2. Dolls. S25216,94| 3. Dolls. 126723,53f

MULTIPLICATION. Page 23.
2. Dolls. 15823,50 3. Dolls. 57408,79£

DIVISION.

2. Doll*. 726,55 3. Dolls. 1034S,79|

PROMISCUOUS QUESTIONS.



E dd em

Quest. 1. 25,0,0,0.0

6,2,0,0,0

8,0,0

• 7,5,5

O l,d, 0,0,3

Or, S S13 55b cts.

3. Sugar g 39,87i
Coffee 22,182
Tea 2,l2i

8 64,181
5. Lent g 1000,00



Doth.
I. 1055 in notes
260 gold
S650 silver
250 cents

g 4967,50



4. .From g 645,95|
Take 350,00



g 295,65i



Received at I £35551
sundry pay'ts. \ m ^ s %

Received in all g 746,20*
Unpaid g 253,791
8. $17,374

132
3474
5211
173766

f 229*,5<>



6. g 102,19
Mult by 120

g 12262,80

7. Dolls. 4,50
16

8 72,00

9. 5)6022,50
g 1204,50

. '^ Digitized by VjC



COMPOUND ADDITION. 13

Page 23.



ia 18)252.90(14.05
18




11. 45) £2. 50(50 eta.

2-25


72
. 72

90







13. 25)


Page 24.
[5555, 50(G:


22d. 2-2c.



COMPOUND ADDITION.

ENGLISH MONEY. Pace 25



S.



d£l36739 6 Si 3.


£15725 11 llj


TROY WEIGHT.




lb. oz. dtct. gr.

22 7 6 6 5.


lb. oz. dirt. gr.
33 9 19


AVOIRDUPOIS WEIGHT.


Page 2G.


T. act. qr. lb. oz. dr.
128 12 1 18 14 10 2.


t. C7rt.qr.lh.ozdr.
2921 3 9 8



1.

APOTHECARIES' WEIGHT.
lb. oz. dr. sc. gr. U>. oz. dr. se. gr.

1. 24 4 5 2 16 2. 220 2 2 10

CLOTH MEASURE.

Tii. qr. nm. E. FL qr. na. E. Fr. qr. na.

1. 215 2 2. 173 S. 128 4
E En. qr. na.
4. 221 2

LONG MEASURE. Page 27.

4eg. m. jnr. po. ffd. ft. in. be. £> M. fyr. jpfr. J>. mi.

I. 207 27 5 6 1 4 2. 13 2 Q. 167 2 10

LAND MEASURE. Page 28.

A. R. P. A. R. P. A. R. V.

1. 161 1 29 2. 2134 2 23 S. 1999 2 32

CUBIC, OR SOLID MEASURE.
,C9.ft. to. T. ft. in. T. ft. **.

t *6 4 1407 2. 21 16 1542 3. 271 596 H$i

2 _ . ;-;

Digitized by G00gk



14 COMPOUND 6UBTHACTIOX.





TIME. Page 29.


1.


F. mo. d. J*, mi. see. Y. d h. mi m.
104 2 £6 ,13 £3 £7 2. 14 240 4 4 33




MOTION.


1.


tig-. deg. mi. set. tig. ° ' /'
9 It) 9 17 2. 10 12 45 S3




LIQUID MEASURE. Page 30.


1.


T. hhd. gal. qL pt. . T. hhd. gal
20 15 3 1 2. 79 11 *




PRY MEASURE.


1.


lu. P., §*. fcu. P. §rf. fas. P.jf
175 2 3 2. 1553 3 4 3. 41920 7



COMPOUND SUBTRACTION.



Page 31.

T. cwt <r- &. OS' dr. ww /ur P. /*. <». ft*

2. 156 19 2-2 2 6 3. 124 5 34 4 7 I

&u. P. g£. p/. ©. ft. ml. tea.

4. 53 3 4 1 5. 83 21 44 34

T. hhd. gal.qt.pt tig.dcg.mi. see. A. IL P

6. 29 2 * 47 3 I 7. 2 22 15 41 8. 408 2 22



Promiscuous Queztiom in Compound Addition mid
Subtraction.

yds. qr. **a. £* $. 4.

fymt. U No. 1, 36 3 2 t. 1st 6 2 4

« 2, 45 13 2d. 5 10 9t

" S, 48 2 1 3d. 7

" 4, 52 3 4th. 8 10 6

« 5,, 64 2 5th. 9 2 4



y%rda £4f 2. 1 £36 6 licott

Received £22 10 6



Jiottf £13 15 7i

Digitized by VjOOQLC



r

. COMPOUND 6UBTRACTI0S. 15

Page 32.

lh.oz.dwt.gr. lb os. dr.tc.gr.

Quest. 3. Bought 26 9 10 4. Bought 6 10 6 2

Wrought up 18 16 10 Used 4 5 4 t 17

Has left lb. 8 3 13 14 lb, 2 5 2 3

yrs. rno. dny. hr.

<f. Charles born 1817 3 20 9 evening
William born 1816 1 15 6 morning

Year 1 2 5 15

OwC qr. lb. yds.

6. lftt. 18 2 14 7. eoldfoA rj



fid. 16 S 18 {*£t

2UJ



Sd. 22 24
4th. 24 1



Cwt 82



yds. 40 fold and left.

yds.

Then from 65

Or, 4 Ton, 2 cwt. , take 40

yds. 15 for D and E.
But because E has half as much ar; D, and together
have 15; therefore O has 10, and £ has &.

8, gal*. gals.

bought 1 pipe =126 sold 1 hhd. 63

2 hhds. =126 , 2 qr. casks 52

~ line 1<r

hhd. :
(^cask



s nnus. = i:su # s qr. cas

r 26 ♦ r P i|

S quarter casks < 26 leaked < hh

L 26 (ca



330 bought gallons 1<

1485 sold and leaked *



1811 left
; i
two first



9. Bought E. Ft. qr. na. yds. qr. no.
\9 3 2 = 14 1 2



9 3 2=14 1 2

8 2 5=12 2 3

2 3

yards 54 2

40 2



tf»iut|5 § iz\l



13 2 2 yards lei-
Digitized by VjOOQLC



16 COMPOUND MULTIPLICATION.

COMPOUND MULTIPLICATION.

Case 1. Page 33.



jT. ewt. qr. lb. oz. dr.
% 146 2 3 14 6 1 5.


lb. os. dwt. gr«
n 10 17 7


bu pe. qt. hhd gal. qt. pt.
4. 199 3.0 5. ^83 33 2 1


deg. mi. f tar. p.
6. 67 18 6 32


yds. ft in. bo. A R. P.
7. 149 1 4 8. 8U9 34


bu. pe. qK
9. 538 1 %


d h mi. sec.
10. 763 8 44*15 11.


yrs. m. v>. d.
1508 2 2 6


•Application.




£. s. d.

Quest. 1. 2 6 4

5


£. 9. i.

2. 1 2 6J
9


£ll 11 8


£10 2 8|


£. s. <t.
3. 12 9} 4.
It


£. «. d.
2 4 2i
12



£r o 8} £26 10 . a

Case 2. Page 34.
Application.

T. cwt. qr. It/, oz. tlr.
1. 4 3 1 r l6 .8 10 by 36
6



25 1 15 3 12 product bj 6
6



150 2 1 7 6 8 product by 36

£. tf. rJ. T.pwt.qr.lb.

Mult. 120 9 by 24 3. Mult. 24 4 2 7 by 48

6 12



722 6 prodnct by , 290 14 3 pro. by 1*

4 4



2338 -2 prodtfet by to 1162 19 pro. by 4ft



OOXPOUND MULTIPLICATION. %7

Case a Page 34.

d* /*. mi. $ec.
Mult. • 4 12 5 by £9
« 4



32 16 48 20 product by 4
7



223 21 38 20 product by 28
3 4 12 5 " 1



days 237 1 50 25 product by 29
Cafe 4. Page 35.



*.


#. d.

14 6
10


3. 1


2


d.

3X7
10


7


5 0X4
10


11


2


6x1
10


72


10

2


♦ 111

11

7


5

2

15


val. of 100

6/' « 10
9 « « 7


145
29


' value of 200
* of 40 ,


£130


3


3 val. of 117


4174


value of 240

£. s. d.
4. 1 2 6X5
10






11 5 0X7
10






112 10
2





225 value of 200

78 15 ' of 70

5 12 6 « of 5



*



£309 7 6 value of 275

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13



COMPOUND DIVISION

COMPOUND DIVISION*
Case 1. Pag&Jp*



£. s. d.

8. Ans. 187 18 5i



* T. cwt. qr. lb.

3. Ais. 15 6 7



yds. ft. in
4. Ans. '192 4}

w. ft A. ww. see.
6. Ans. 3 16 16 53



JT. hhd. gaL qU
58 2 13 3{



Case 2.



£. s. d.

2. \\)n\ is 8



£. t. d.

S. 12J984



4; 12 5 4quotby 11 VSL) 82 by IS



£3



1* 4 *
4



by 44

£. w. d.

12)474



£& 16 8 by 144



6; 39 10 quotient by 1
• by 7



> £. s. d. ' 4« *• &
8. 345)409 13 9(130
345



£$ 11 8
Case 3. Page 37.



64
20

345)1293(3*.

1035



12

345)31 05(<M.
3105



^



-r



£. s. d.

3. 232 4 9

*. d.

524)4644(8 10*1 «•
4192 ,S4

* 452
12

524)5433 (IM.
524

193
4

524)772(ljr.
524

348 rem.

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P*f»37.




4. t. d. At.


A


A t . if. £. t . d.


4. 154)3238 12 4* { 4 18 Uf
2616


5. 66)132 8(1 18 10
68


~m




64


20




20


654)12412(18*.




68)1280(18*


654




68


5872


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5233




544


640




56


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664)7684(11*




68)680(10*


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1144




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654






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654;i962f3gr.






1962


,*




Promiscuous Questions for Exercite in Compound Addi-


tion, Subtraction,


Multiplication and Division.


s. d




lb. oz dwt. gr.


Quest. 1. 2 5x2


2.


4 1 15 22


10




11 ingot!


1 4 *X7




45 T 15 2


10







12 1



72 10 O value of 600 yardi
8 9 2 * of 70 '

4 10 * of 2 « •



£81 4 value of 6f 2 yards
4.



T. cwt qr lb.
8. 1 2 3 16
Mult, by 8 loads



T. art. jr. lb.
8; 9 3 16



8 3 16



12 3 16ondtlu»



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10 COMPOUND DIYISIOK, ET<fc

P>fi« 37.
df . i?. A

5, 300 2 20
5



1503 20



4509 1 20








Page 3a






A. R. P.


bu.


d. e.


d. c. m.


6. 5)4509 1 20


7. 179J


201 371 (I 12 5


__— ~ .




179


orldolL 121 1


s;9oi 3 20




* 223




800 2 20




179

447
358








805


•






895




d.






bushels


8. 7X5




9.


. 1000


10




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10| cts.


5 .10x6






10000


10






500



2 13 4 ; S105,00

3



8 15 in 500 days
1 15 4 GO *
211 * 5 *

£10 12 11 in 365 days

£ t. d.

bu. d. c. d. a 11. 3;4r 12 10|



10. 135X2 05 =276 75 sold for



-135*1 62i»gl9 S7{ prime cost 9&15 17 7*
; /S57 371 gain & I 15 3i



COMPOUND DIVISION, ETC. 11

Page 38.

dolls. dwt. gr.

1*. 9708 13. 17 8

2 9



5)19416 7 16 0wt.of9dolls.

5

3883 20 eldest son.

oz. 39 Owt of 45 dolls.

3)5824 80 rem.

S 1941 60 other sons/each

oz. dwt. gr. cwt. lb.

14. 84 7 20 15. 21=280

20 Mult, by ISajgWs

dwt. gr. gr. JF^

150)1687 (li, 6+3 over .* 837,2?- *

150 11 6 standard



18r 0+8 grains orer *,
150



t



57
24

148

76

150)908(6
900

8 grains

16. 35x20 dolls. notes=700 dolls.
63 Eagles =630

284 dollars =284

643 half dollars =321
368 qr. dollars = 92
256xl2£ cents = 32

Deposited Dolls. 2059

. Checks 560+820=? 1580 .

Dolls. "6T9



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by Google



compound Drnsio*viTo.

Page 38.

i_ ^_ _ dolls, eta. dolls. ct$.

17* S6 yds. it 4 66-167,76 cost
Ad d 29.56 gained
Must sell all for Siy7}32

4 yds.' at 2 33« 9,32
8 yds. at 5 50=44,00

12 yds. is sold for 853,32

Now, From 56 yds. which must sell for 197* 3*
lake, 12 yds. which brought 53 S3

The diff. 34 yds. must sell for gl44 00

#rf*. dolls.
But S4J 144 (6 dollars.

13. 121x5=0 62|beds.

62=1x4=2 50 supper and* breakfast -

75 for liquor
25x5=1 25 for hay

S5 12^

From 6 dollars take 85,l2£, and the remainder
is 87dcts. =875 mills .
cts. ms.
a 1 ^ u *^= 25 )8r5(35qts.=8| galls.
And 6 dollars~5 trave!iers=S 1,20=120 cents.
Page 39.

&• m ' *■* A. m. minutes
12 25xby5~ 62 5=3725
11 SOXby 9=103 30=6210

' * Sum 9935 minute*
Now gg&f minutes *
Mult, by ' 75 cents per day,

49675
69545

A. mi dolls, c t s% m .

»*=450. ) 745125 ( 15 52 3+

Digitized By VjOOQLC