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COMPOUND SUBTRACTION

Teacheth to find the inequality between numbers of divers do. nominations.

FEDERAL Money.
dol. ct. n.
dol. ct. m.

dol. ct. m. From 1901 95

435

170 10 3 Take 992 97' 2

9 15 9

9 50 2

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APOTHECAR133: WEIGHT. lb. oz. dr. sc. gr.

Zb. oz. dr. sc. gr. 2 3 4

3 I 7 5 10

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WINE MEASURE.
tun. hd. gal, qt. pt. tun. hd. gal. gt. pt.
591
13

800

50 126 2 56 3

149

61 3 1

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Take

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ALE and BEER MEASURE. hd. gal. qt. pt.

hd. gal. qt. pt. 571 19 3

100 36 2 198 53

9 27 3

1

From
Take

2

1

DRY MEASURE. qr. bu. gal. qt.

chal. bu. gal. qt.
From 38 4 5 3

69 21 3 2
Take
17 5

49 33 5 3

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2

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PRÁCTICAL QUESTIONS IN COMPOUND ADDITION

AND SUBTRACTION.

1. Cast up the following fums, viz. Twenty-three shillings and five pence, One pound and nine pence, Seven shillings and eleven pence three farthings, Twenty pounds thirteen shillings and nine pence, fifteen pence three farthings.

£.

d. 3 5

9 7

9 31

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1. Twenty dollars and four cents, Five dollars and three mills, Eighty-two cents, Six dollars and five mills.

Anf. 31 dols. 86 cts. 8 m. 3. Seventy dollars, Three dollars and three cents, Thirty-four cents and four mills, Eighty dollars and a half, Six dollars and a quarter.

Ans. 160 dols. 12 cts. 4 mills. 4. Ten pounds and three pence, Forty-five shillings and ten pence half-penny, Thirty-seven shillings and four pence three far, things, Nine pounds and three farthings, One shilling and fix pence farthing, Eighty-two shillings and four pence half-penny.

Anf. £.27.7.54 5. Thirty dollars six cents and a half, Fifty-three cents and three quarters, Eleven cents and a quarter, Nine dollars eleven cents and a half, Fifty-four cents.

Anf. 40 dols. 37 cents. 6. Take Three shillings and four pence from One pound iwo shillings and a penny.

Anf. 18.gd. 7. From £.5 25. 1d. take nine shillings and fix pence halfpermy.

Anf. £:4 12 61 8. Take Twenty fhillings and three farthings from £ 8.

Anf. £6 19 114 9. From 18 dollars take Eight mills.

dols. 99 cts. 2 m. 10. Take 53 dimes from 53 Eagles. Ans. 524 dol. 7 dim. or 70 cts. 11. A merchant bought 112 bars of iron weighing 56 cwt. 1. gr. 11 lb. of which he fold 59 bars weighing 29 cwt. 3 qrs. 21 lb.; how many bars has he remaining, and what is the weight?

Ant. 53 bars, weighing 26 cwt. 1 qr. 18 lb. 12. Required the total weight of 4 hogsheads of sugar weighing as follows, viz.. No. 1. 9 cwt. 2 qrs. 21 ib. No. 2. 10 cwt. 3 qrs. 23 lb. No. 3. 8 cwt. 2 qrs. 25 lb. No. 4. 9 cwt. 3 qrs. 17 lb.

Ans. 39 cwt, i qr. 2 lb.

Anf. 17

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13. A ropemaker received 3 tons 15 cwt. 3 qrs. 14 lb. of hemp

wrought, of which he delivered in cordage 34 cwt. 1. qr. 22

how much remains ? Ans. 2 tons i cwt. I qr. 20 lb. 14. Received 57953 mills, 4953 cents, 1913 dimes and 45 eagles ; required the total sum. Ans. 748 dols. 78 cts. 3 mills.

15. A cashier received, viz. One hundred pounds and nine pence half-penny, Three thousand seven hundred and four pounds ten shillings, Twenty thousand and ninety pounds two shillings and eleven pence three farthings, of which he paid away Sixteen thoufand fixteen hundred and sixteen pounds; how much has he on hand?

Anf. £.6278 13 91 16. A farmer bought three pieces of land, measuring, viz. the first piece 21 acres 3 roods 19 poles; the second, 37 acres 2 roods 29 poles ; the third, 27 acres 2 roods 25 poles ; of which he fells 15 acres 2 roods 39 poles; how much has he remaining ?

Anf. 71 acres i rood 34 poles. 17. A has paid B £.9 15 61 £.19 11 9£ £.14 19 71 and 545. 31d. on account of a debt of £.50; how much is there ftill

Ans. £.2 18 93

unpaid ?

REDUCTION.

REDUCTION teacheth to change numbers from one denomina. tion to another without losing their value.

Rule.' When the Reduction is descending multiply the highest denomination by as many of the next as make one of the greater, adding to the product the parts of the same name, and so on to the last.

When the Reduction is ascending, divide the given number by as many of that denomination as make one of the next higher, and so on to the denomination required, and the last quotient with the several remainders (if any) will be the answer.

The proof is by reversing the question.

FedeRAL MONEY.

53 dolls.

In 53 dollars how many mills ?

Or decimally, by adding a cypher
for each inferior denomination, thus,

dols. dim. C. m.
53 0

10

530 dimes.
10

5300 cents.

10

Anf. 53000 mills.

REDUCTION.

33 %. In 14000 mills how

many

dollars ? 10) 14000 Or decimally, by separating the figures,

counting from the right to the name 10)1400 required, thus,

dolls. 10140

14,090 mills,

Ans.

14

dols,
In
57935
mills how

many

dollars ?

Aní. 57 dollars, 93 cents and 5 mills. 4. How many Eagles in 1933 dimes ?

Ans. 19 Eagles, 3 dollars, 3 dimes. 5. In

1290 mills how many dimes ? Anf. 12 dimes and 9 cents. 6. How many cents in 46 dollars ? Ans. 4600 cents. 5. In 190004 mills how

many

dollars ?
Ans. 190 dollars and 4

mills. ENGLISH MONEY. 1. In £.91 11 31 how many farthings ? 91 31

Proof.

4)87902 1831 shillings

12) 21975-2

II

20

12

20) 1831–3
21975 pence
4

£.91 11 31 Ans. 87902 farthings 2. How many pounds in 3175 farthings? Ans. £ :3 6 14 3. In 19/81d how many farthings? Anf. 947 farthings. 4. How many pounds in 9752 pence ? Anf. £:40 12 8 5. In £ .46 how many crowns of 6f 7d each ?

Anf. 139 crowns and 4 shillings and 11 pence. 6. How many pounds in 493 dollars ? Ans. £.147 18 7. In 143 pence how many shillings?

Anf. ilf und 8. Reduce 38f 4ļd to half pence.

Anf. 921 half pence. Prove the above answers to be right.

TROY WEIGHT. 1. In 15 lb. troy how many grains ?

Anf. 86400 grs. 2. How many ounces in

5749

dwt. ? Anf. 287 oz. 9 dwt. 3. In 11 oz. 13 dwt. 13 grs, how many grs. ? Anf. 5605 grs. 4. How many grains in 15 lpoons, each weighing 6 dwt. 15 grs.?

Anf. 2385 grs. AVOIRDU POIS WEIGHT. 1. In 19 tons 14 cwt. 2 qrs. 19 lb. 11 oz. 13 drs. How many drams?

Ani, 11316157 drs. E

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