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3. When nu two numbers multiplied together will exactly make the multiplier, you must multiply by any two whose product will come the nearest; then multiply the upper line by what remained; which, added to the last product gives the answer.

EXAMPLES.

What will 47 yds. of cloth come to at 17s. 9d. per yd. 1 £. 3. d.

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4. To find the value of a hundred weight, by having the price of one pound.

If the price be farthings, multiply 2s. 4d. by the farthings in the price of one lb.-Or, if the price be pence, multiply 9s. 4d. by the pence in the price of one lb. and in either case the product will be the answer.

EXAMPLES.

What will 1 cwt, of rice come to, at 2 per lb?

s. d.

112 farthings 2 4 price 1 cwt. at d. per lb.
9 farthings in the price of 1 lb.

Ans. £1 1

0 price of 1 cwt. at 24 per Ib. What will 1 cwt. of lead come to at 7d. per lb.

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Examples of Weights, Measures, &c. 1. How much is 5 times 6 cwt. 3 qrs. 15 lb. ?

Crot. qrs. lb.

7 3 15

1 5 8

1 8 0

0 18 8

1 12 8

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1. What is the weight of 7 hhds. of sugar, each weighing 9 cwt. 3 qrs. 12 lb. ?

Ans. 69 cut. 2. What is the weight of 6 chests of tea, each weighing 3 cwt. 2 qrs. 9 lb.?

Ans. 21 cwt. 1 qr. 26 lb.

3. How much brandy in 9 casks, cach containing 41 gals. 3 qts. 1 pt.? Ans. 376 gals. 3 qts. 1 pt. 4. In 35 pieces of cloth, each measuring 274 yards, how many yards? Ans. 971 yds. 1qr.

5. In 9 fields, each containing 14 acres, 1 rood, and 25 poles, how many acres? Ans. 129a. 2qrs, 25roods. 6. In 6 parcels of wood, each containing 5 cords and 96 feet, how many cords? Ans: 34 cords.

7. A gentleman is possessed of 1 dozen of sllver spoons, each weighing 2 oz. 15 pwt. 11 grs. 2 dozen of tea-spoons, each weighing 10 pwt. 14 grs. and 2 silver tankards, each 21 oz. 15 pwt. Pray what is the weight of the whole? Ans. 8lb. 10 oz. 2put. 6grs.

COMPOUND DIVISION

TEACHES to find how often one number is contained in another of different denominations.

DIVISION OF FEDERAL MONEY.

Any sum in Federal Money may be divided as a whole number; for, if dollars and cents be written down as a simple number, the whole will be cents; and if the sum consists of dollars only, annex two cyphers to the dollars and the whole will be cents; hence the following

GENERAL RULE.

Write down the given sum in cents, and divide as n whole numbers; the quotient will be the answer in cents. NOTE. If the cents in the given sum are less than 10, you must always place a cypher on their left, or in the ten's place of the cents, before you write them down. "

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EXAMPLES.

Divide 35 dollars 68 cents, by 41...

328

41)3568(87 the quotient in cents; and when there is any considerable remainder, you may annex a cypher to it, if you please, and divide it again, and you will have the mills, &c.

288

287

1

2. Divide 21 dollars, 5 cents, by 14.

14

14)2105(150 cents=dol. 50 cts. but to bring cents into dollars, you need only point off two figures to the right hand for cents, and the rest will be dollars, &c.

70

70

-

5

3. Divide 4 dols. 9 cts. or 409 cts. by 6. Ans. 68 cts.

4 Divide 9 dols. 24 cts. by 12.

Ans. 77 cts.

5. Divide 97 dols. 43 cts. by 85. Ans. $1 14 cts. 6m. Divide 248 dols. 54 cts. by 125.

Ans 198cts. 8m.-$1.98cts. 8m.

7. Divide 24 dols. 65 cts. by 248.
8. Divide 10 dols. or 1000cts. by 25.
9. Divide 125 dols. by 500.

10. Divide 1 dollar into 33 equal parts.

Ans. 9cts. 9m.

PRACTICAL QUESTIONS.

1. Bought 25 lb. of coffee for 5 dollars; pound?

2. If 131 yards of Irish linen cost 49 what is that per yard?

Ans. 40cts.

Ans. 25cts.

Ans. 3cts.+

what is that a Ans. 20cts. dols. 78 cts. Ans. 38cts. cts. what is that Ans, 8cts, 4. If 140 reams of paper cost 329 dols. what is that per ream?

3. If an cwt. of sugar cost 8 dols. 96 per pound?

Ans. $2 35cts.. 5. If a reckoning of 25 dols. 41 cts. be paid equally among 14 persons, what do they pay a piece? Ans. $1 811 cts. 6. If a man's wages are 235 dols, 80 cts. a year, what is that a calendar month? Ans, $19 65cts. 7. The salary of the President of the United States, is twenty-five thousand dollars a year; what is that a day? Ans. $68 49 cts.

2. To divide the denominations of Sterling Money, Weights, Measures, &c.

RULE.

Begin with the highest denomination as in simple division; and if any thing remains, find how many of the next lower denomination this remainder is equal to ; which add to the next denomination: then divide again, carrying the remainder, if any, as before; and so on, till the whole is finished.

PROOF The Same as in simple Division.

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