1. What is the weight of 7 hhds. of sugar, each weighing 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. P Ans. 21cwt. 1gr. 26lb. 3. How much brandy in 9 casks, each containing 41 gals. 3 qts. I pt.? Ans. 376gals. 3qts. 1pt. measuring 27 yards, Ans. 971yds. 1gr. 4. In 35 pieces of cloth, each how many yards? 5. In 9 fields, each containing 14 acres, I rood, and 25 poles, how many acres? Ans. 129a. 2qrs. 25rods. 6. In 6 parcels of wood, each containing 5 cords and 96 feet, how many cords P Ans. 341cords. 7. A gentleman is possessed of 13 dozen of silver 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. 81b. 100z. 2pwt. 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 in 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 cyplier on their left, or in the ten's place of the cents, before you write them down. EXAMPLES. 1. 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 Rem. 1 2. Divide 21 dollars, 5 cents, by 14 14 14)2105(150 cents 1 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. Ans. 81 14cts. 6m. 5. vide 97 dols. 43 cts. by 85. 7. Divide 24 dols. 65 cts. by 248. PRACTICAL QUESTIONS. $1 98cts. 8m. Ans. 9cts. 9m. Ans. 40cts. Ans. 25cts. Ans. 3cts.+ 1. Bought 25lb. of coffee for 5 dollars; what is that a pound? Ans. 20cts. 2. If 131 yards of Irish linen cost 49 dols. 78 cts. what is that per yard? 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 ets. be paid equally among 14 persons, what do they pay a piece? Ans. $1 811cts. 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 49cts. 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. 2. When the divisor exceeds 12, and is the product of two or more numbers in the table multiplied together. RULE. James Divide by one of those numbers first, and the quotient by the other, and the last quotient will be the answer. £. s. d. Hamilt EXAMPLES. 1. Divide 29.15 0 by 21 2. Divide 27 16 0 by 32 3. Divide 67 9 4 by 44 4. Divide 24 16 6 by 36 5. Divide 128 9 0 by 42 6. Divide 269 12 4 by 56 7. Divide 248 10 8 by 64 8. Divide 65 14 0 by 72 9. Divide 5 10 3 by 81 £. s. d. 0 13 9A 3. When the divisor is large, and not a composite number, you may divide by the whole divisor at once, after manner of long division, as follows, viz. produces 693 shillings, which divided by 47, gives [14s. in the quotient. 47 223 198 Multiply by 35 shillings remaining. produces 423 pence, which divided as above, give [9d. in the quotient 423 |