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4. A gentleman has three farms, which measure as follows, viz.: 150 A. 3 roods, 14 poles; 175 A. 2 roods, 18 poles; 100 A. 1 rood, 39 poles; what do they measure in all ?

Ans. 426 A. 3 roods, 31 poles.

SOLID, OR CUBICK MEASURE.

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4. A man bought 3 piles of wood, which contain as follows, viz.: 37 cords, 51 feet; 14 cords, 120 feet; 19 cords, 95 feet; how many cords did he purchase? Ans. 72 cords, 10 feet.

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4. A merchant bought three casks of whiskey, each containing 65gal. 1qt. 1pt.; what number of gallons did they contain ? Ans. 196gal. 1 pint.

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4. A, sent to market at one time, 38 bushels 2 pecks, at another 29 bushels 3 pecks, at another 57 bushels 1 peck; what number of bushels did he send to market?

Ans. 125 bushels, 2 pecks.

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4. Add 11 signs, 24 degrees, 55 minutes, 25 seconds; 8 signs, 19 degrees, 59 minutes, 17 seconds; 8 signs, 29 degrees, 11 minutes, 18 seconds. Ans. 29S. 14deg. 6m.

COMPOUND SUBTRACTION,

Is taking a less sum or quantity from a greater of different denominations.

RULE. Place the less sum or quantity under the greater, so that those of the same denomination may stand directly under each other; begin with the least denomination, and if it exceed that directly above it, subtract it from as many of that denomination as shall equal a unit in the next higher, and to the difference add the upper denomination; remembering always, when you have thus subtracted, to add one to the next lower denomination; but when the lower denomination does not exceed that directly above, you merely set down the difference, and proceed to the next without carrying.

Proved by adding the difference to the subtrahend; and if the amount equal the minuend, the work is right.

STERLING MONEY.

1. If a boy has 3 shillings and 9 pence given him, and he pays out 2 shillings and six pence; how much has he left? Ans. 1s. 3d. DEM.-It is plain, by taking 6 pence from 9 pence there will 3 pence remain; and by taking

s.

3

d.

9

2 6

Ans. 1's. 3d.

Proof. 3s. 9d.

2. A man lent

shillings from 3 shillings, 1 shilling must remain; and because the difference between the pence is three pence; and the difference between the shillings, 1 shilling; the whole difference must be 1 shilling and three pence.

his neighbour 4 pounds, 6 shillings, and 8 pence; he afterwards received 2 pounds, 16 shillings, and 9 pence; what is yet his due? Ans. £1 9s. 11d.

£ S. d.

4

6

8

2 16

9

Ans. 1

9

11

8

Proof. 4 6

DEM. The pence in the subtræhend exceeding the pence in the minuend, we subtract the 9 pence from twelve, (the number which it takes to make a unit in shillings,) by saying, 9 from 12, 3; and to 3, the difference, we add 8, the pence in the minuend, which gives 11 pence to set down in the place of pence; we then add 1 to the shillings in the subtrahend, and say 17 from 20, (the number of shillings which it takes to make a pound;) 3 is the difference, to which we add 6, the shillings in the minuend; we then have 9 shillings to set down, and we add 1 to the pounds in the subtrahend; we then say, 3 from 4 leaves 1, which we set directly under. The 12 pence which we add to the minuend are just equal to the 1 shilling which we add to the subtrahend, so that it is adding equals to both the given sums; and adding equals to both, the difference must ever remain the same; this, however, by some, is called borrowing.

3.

£. S. d. qrs.

46

10

18

Ans. 35 18

16 11 2
10 3
0 3

NOTE The student should bear in mind that the principles here are the same as in simple numbers, only that it takes different numbers here, to make a unit in the next higher; as in farthings, it takes 4 to make a unit in pence; and in pence it takes 12 to

make a unit in shillings; and in shillings it takes 20 to make a unit in

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Ans. £13 4s. 3d.

12. Borrowed £29 16s., and paid £16 11s. 9d.; how much remains due? 13. From £397 16s. 6d. ; take £144 11s. 4d. 3qrs.

Ans. £253 5s. 1d. 1qr.

14. From seven pounds; take seven pence, three farthings. Ans. £6 19s. 4d. 1qr. -15. How much does eighty-nine pounds, sixteen shillings, eleven pence, three farthings, exceed forty-eight pounds, eleven shillings, ten pence, two farthings?

Ans. £41 5s. 1d. 1qr.

16. From one thousand pounds; take one farthing

Ans. £999 19s. 11d. 3qrs. 17. How much does two thousand pounds, exceed 19s. 62d.? Ans. £1999 Os. 5 d.

TROY WEIGHT.

23gr.

1. From 8lb. 11oz. 16pwt. 19gr.; take 1lb. 5oz. 12pwt.

Ans. 7lb. 6oz. 3pwt. 20 gr.

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