8. A merchant had six debtors, who together, owed him 89171. 10s. 6d. A, B, C, D, and E, owed him 1675l. 13s. 9d. of it; what was F's debt ? Ans. £1241 16s. 9d. 9. A merchant bought 17C. 2grs. 141b. of sugar, of which he sells 9C. 3qrs. 25lb. how much of it remains unsold ? Ans. 7C. 2grs. 17lb. 10. From a fashionable piece of cloth which contained 52y.ds. 2na. a taylor was ordered to take three suits, each 6yds. aqrs. how much remains of the piece ? Ans. 32yds. 2qrs, 2na. 11. The war between England and America commenced April 19, 1775, and a general peace took place Jan. uary 20th, 1783; how long did the war continue ? Ans. 7yrs. Imo. 1d. COMPOUND MULTIPLICATION. COMPOUND Multiplication is when the Multiplicand consists of several denominations, &c. 1. To Multiply Federal Money. RULE. Multiply as in whole numbers, and place the separa. trix as many figures from the right hand in the product, as it is in the multiplicand, or given sum. EXAMPLES Scts. S d, c.m. 1. Multiply 35 09 by 25. 2. Multiply 49 0 0 5. by 97. 25 97 17545 7018 343035 441045 Prod. 9877, 25 3. Multiply 1 dol. 4 cts. by $4753, 4 8 5 $ cts. 305 Ans. 317, 20 150 Ans: 62, 25 50 Ans. 450, 00 50 lins. 4, 50 50 Ans. 0, 4 8. There were forty-one men concerned in the payment of a sum of money, and each paid 3 dollars and 9 inills; how much was paid in all ? Ans. $123 36cta. Imills. 9. The number of inhabitants in the United States is hve millions ; now suppose each should pay the trifling sum of 5 cents a year, for the term of 12 years, towards a continental tax : how many dollars would be raised thereby Ans. three millions Dollars. 2. TS Multiply the Denominations of Sterling Money Weights, Measures, &c. RULE. Write down the Multiplicand, and place the quantity underneath the least denomination, for the Multiplier, and in multiplying by it, observe the same rules for carrying from one denomination to another, as in Compound Addition. INTRODUOTORY EXANPLKS. s. d. Multiply 1 11 6 2 by 5. How much is 3 times 11 9 5 £. 8. d. • When accounts are kept in pounds, shillings and pence, this kind of multiplication is a concise and elegant mcthod uf luding the value of goods, at so much per yard, lb. &c. the general rule being to multiply the given price by the quantity GOMPOUND DIVISION, TEACHES to find how often one number 13 contained in another of different denominations. DIVISION OF FEDERAL MONEY. PAny sum in Federal Money may be divided as a whole namber; 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 doilars, 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 sựm are less than 18, you must always place a cypher 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. 41)3568(87 the quotient in cents; and when there 328 is any considerable reinander, you may annex a cypher to it, if you pleaso, 288 and divide it again, and you will have 287 the mills, &c. 2. Divide 21 aollars, 5 cents, by 14 14)2105(150 cents=1 dol. 50 cts. but to bring cents 14 into dollars, you need only point off two figures to the right hand for cents, and 70 the rest will be dollars, &c. 70 5 3 Divide 4 dols. I ots. ur 409 cts. by 6. Ans. 68 ets.f ho Divide 9 duls. 24 ets. by 12. Ans. 77 ets. 5 Divide 97 dols. 43 cts. by 85. Ans. S1 14cts. 6ın. 6. Divide 248 dols. 54 cts. by 125. Ans. 198cts.. 8m.=81 98cts. 8m. 7. Divide 24 dols. 65 cts. by 248. Ans, 9cts. 9ın. 8. Divide 10 dols. or 1000 cts. by 25. Ans. 40cts, 9. Divide 125 dols. by 500. Ans. 25cts, 10. Divide 1 dollar into 33 equal parts.. lis, Sctş.'+ PRACTICAL QUESTIONS. pound? 1. Bought 25lb. of coffee for 5 dollars.. what is that a Ans. 20cts. 2. If 151 yards of Irish linen cost 49 dols. 78 cts. what is that per yard ? Ans, S8cts, 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 «lols. what is that per ream? Ans. 82 35cts. 5. If a reckoning of 25 dols. 41 cts. be paid equally among 14 persops, what do they pay a piece ? Ans. 81 81}cts. 6. If a man's wages are 235. dols. 80 cts. a year, what is that a calendar month ? Ans. 819 65cts. 7. The salary of the President of the United States, is twenty-five thousand dollars a year; what is that a day? Ans. 868 49cts. 2. To divide the denominations of Sterling Money, Heights, Measures, &c. RULE. Begin with the highest denomination as in simple di qision; 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, til the whole is finisherl. Proof—The same as in Simple Division. 3 9 by £ 3. Divide 31 10 6 by 4. Divide 22 -5. Divide 10 10 4 by 6. Divide 56 11 5f by 7. Divide 61 14 8 by 6 8. Divide 24 15 61 by 7 9. Divide 185 17 6 by 8 70. Divide 182 16 8 by 9 11. Divide 16 1 11 hy 10 12. Divide i 19 8 by 11 13. Divide 6 6 6 by 12 14. Divide 1 2 6 by 9 15. Divide 948 11,6 by 12 £. s. i 2. When the divisor exceeds 12, and is the provluct of two or more numbers in the table multiplieil together. RULE. Divide by one of those rumbers first, and the quotient by the other, and the last quotient will be the answer. d. Ans. 15 15 9 7 7 11 17 12 Top 11 6 31 10 5 93 3 10 9 23 4 82 20 6 31 1 12 94 0 3 71 0 10 61 6 79 0 111 EXAMPLES 4. S. d. f. s.d. 1. Divide 29 15 O by 21 2. Divide 27 16 O by 32 3. Divide 67 9 4 by 44 4. Divde 24 16 6 by 36 5. Divide 128 90 by 42 6. Divide 269 12 4 by 56 7. Divide 248 10 8 by 64 8. Divide 65 14 O by 72 9. Divide 5 10 3 by 81 Ans. 1 84 0 17 41 I 10 8 0 13 93 3 1 2 4 16 31 3 17 8 0 18 S |