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. ? £. 3. d. 0 17 9 price of 1 yard. 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 21 per lb ? 112 farthings=2-4 price 1 cwt. at d. per lb. Ans. £1 10 price of 1 cwt. at 24 per lb. Examples of Weights, Measures, &c. 1. How much is 5 times 6 cwt. 3 qrs. 15 lb; ? Cwt. qrs. lb. 7 3 15 1. What is the weight of 7 hhds. of sugar, each weigh ing 9 cwt. 3 qrs. 12 lb. ? Ans. 69 cwt. 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: 344cords. 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. 2pwl. 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. Rem. 328 EXAMPLES. Divide 35 dollars 68 cents, by 41. 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 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. Sm.-$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. Ans. 9cts. 9m. Ans. 40cts. Ans. 25cts. 10. Divide 1 dollar into 33 equal parts. Ans. 3cts.+ 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? what is that a Ans. 20cts. dols. 78 cts. Ans. 38cts. 3. If an cwt. of sugar cost 8 dols. 96 cts. what is that per pound? Ans 8cts. 4. If 140 reams of paper cost 329 dols. what is that per ream? 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. |