2. What is the value of 375 bushels of salt, at 75 cents ? Ans. $281,62,5. 3. 9 yards of cloth, at $ 4,50 ? Ans. $44,43,7,5. Questions for exercise in Multiplication of Ans. 2,21,2. 1. What is the value of 4 dozen of buttons, at 55 cents, 3 mills? 2. 90 gallons of brandy, at $ 1,07,5 ? 3. 536 quintals of fish, at $3,57? Ans. $96,75. Ans. 1913,52. 4. 26 hogsheads of lime, at $ 3,65 ? 5. 84 lb. of tea, at $ 1,36? Ans. $ 94,90. Ans. 114,24. 6. 3 hogsheads of tobacco, each weighing neat 5 C. 2 qrs. 17lb. at 5 cents per lb? Ans. 104,44,5. 7. 15 hogsheads of sugar, weighing each neat 12 C. 1 qr. 16 lb. at 15 cents per lb. ? Ans. 3123. 8. 35 tons of hay, at 75 cents per cwt? 9. 57 yards, at 37 cents per yard? 10. 9 lb. coffee, at 33 cents per lb? Ans. $525. Ans. 21,09. Ans. $2,97. 11. 5 barrels of sugar, containing each, 2 C. 1 qr. 15 Ib. neat, at 7 cents per lb ? Ans. $93,45. 12. 12 C. 3 qrs. of sugar, at $ 10,50 per cwt? Ans. 133,87,5. Ans. 40,37,5. Ans. $ 22,03,1. Ans. 704,72. Ans. $209,76. 15. 9 C. of iron, at $ 4,25 ? Ans. $22,03,12. 18. Delivered to a purchaser at sundry times, the following quantities of wheat, at $ 1,25 per bushel, viz. 464 bushels, 724, 691, 561, 733 bushels; what is the value of the whole? Ans. 398,43,7. G COMPOUND MULTIPLICATION Teaches to multiply a number of diverse denominations, by a simple number, a fraction, or a mixed number, and is used to find the value of any number of articles bought or sold, by having the number, and the price of one given, in money, which is not decimally divided, as pounds, shillings, pence, &c. CASE I. When the given number does not exceed 12. RULE. Begin with the lowest denomination in the given price; multiply it, and all the denominations by the given number, carrying from the product of one, to that of another, as in Compound Addition. This Case is proved by Case I. in Compound Division. EXAMPLES. 1. Sold 3 gallons of rum for 5s. 9d. per gallon ; what does it come to ? 59 17s3d. Ans. 2. What is 7 yards of cloth worth, at £ 137 per yard? Ans. £137 £85 4 3. Required the value of 9lb. of tea, at 7s. 34d. Ans. 355. 4. 11 barrels of tar, at 15s. 71, per barrel. Ans. 8 11 74. 5. At 23 6 0 per hogshead, what will 12 such hogsheads cost? Ans. 279 12 6: 6. At 1d per yard, what will 11 yards of tape cost? Ans. Is. 44d. 7. 10 gallons of brandy, at 5s. 114d? Ans. 2 19.9. 8. Bought 8 barrels of flour, at 119 64, per barrel; what did the whole cost? Ans. 15 16 4. CASE II. When the given quantity exceeds 12, and can be found in the multiplication table. RULE. Take the two numbers, which produce it, multiply the given price by one of those numbers, and that product by the other; the second product will be the value of the whole. This Case and Case II. of Compound Division prove each other. EXAMPLES. 1. 35 bushels of wheat, at 7s. 34d. per bushel ? Ans. 12 14 52 2. 108 acres of land, at £ 16 11 3 Ans. 3. 84 gallons of brandy, at 5s. 7d? 4. 144 pounds of cheese at 9d ? 5. 70 bushels of wheat, at 7s. 34d? 6. What is the value of 132 bushels per bushel? 3 per acre? 1789 1 9. 23 12 6. Ans. £58. Ans. £25 8 11. of salt, at 4s. 9d. Ans. £ 31 7. 7. 64 gallons of brandy, at 5s. 24d. per gallon? Ans. 16 13 4. CASE III. When the given number exceeds 12, and cannot be found in the multiplication table exactly, but near it. RULE. Take those two numbers which produce one the nearest to the given number; proceed with them as in Case II. till the second product is found. Then if these two numbers produce one less than the given number, multiply the price of one, by the number deficient, and add this product to the second; but if the two produce a number greater than that given, multiply the price of one by the excess, and subtract this product from the second, and you will have the value of the whole. This, and Case III. of Compound Division, prove each other. EXAMPLES. 1. What is 26 yards of silk worth, at 9s. 64d per yard? 5 times 5, are 25. value of 5 yds. 96/20 5 78125 5 2. 46 barrels of flour, at £ 1 8 64? Ans. £65 12 11. 3. 76 yards of linen, at 4s. 84d. per yard? Ans. 17 19 5. 4. 68 hogsheads of lime, at £1 1 64? Ans. £73 3 5. CASE IV. When the given quantity is any number of hundreds, less than 13, as 500, 900, &c. RULE. Multiply the price of one by 10, and that product by 10, then multiply this second product by the number of hundreds; this third product will be the whole value sought. NOTE. When the price is very small, reduce it to the lowest denomination mentioned, for a multiplier, by which multiply the given quantity; the product will be the value of the whole in the same denomination, the price is reduced 100, and may be reduced to its proper terms. This and Case IV. of Compound Division prove each other. EXAMPLES. 1. Required the value of 700 lb. of coffee. at 1s. 74d. 2. What is 1200 lb. of chocolate worth, at 2s. 3 d. Ans. 137 10. per lb ? 3. Sold 1100 lb. of tea. at 7s. 24 per lb. what does the whole come to ? 4. 800 lb. of sugar, at 74d. per lb ? Ans. 396 9 2. Ans. £25. NOTE. Examples in this fourth case may be proved by Compound Division, Case IV. which see. CASE V. When the given quantity is over hundreds, as 212, 562, &c. RULE. Proceed as in Case IV. to find the value of the hundreds; then proceed as in the former Cases, to find the value of the excess over hundreds, and add it to the value of the hundreds; their sum will be the whole value sought. NOTE. When the price is very small, proceed as directed in note to last case. EXAMPLES. 1. Required the value of 736 acres of land, at £1 7 6 per acre. value of 7361012 0 0 Ans. NOTE. This case may be proved by Case III of Compound Division. 2. What is the value of 648 barrels of flour, att 18 4 per barrel? 3. 999 lb. of coffee, at 1s. 7? 4. 758 gallons of rum, at 5s. 14d: Ans. 1242. Ans. £813 4 per gallon? Ans. 194 49%. |