What will 9 hundred weight of flour amount to, at 1 L. 11 s. 5 d. a hundred weight? Ans. 14 L. 2 s. 9 d. 5. Sold 10 tons of hay, at 8 L. 12 s. 6 d. a ton, what is the amount? Ans. 86 L. 5 s. 5 d. 6. How much will 66 acres of land come to, at 7 L. 9 s. 6 d. an acre? Ans. 493 L. 7 s. 7. What will 32 pounds of cheese cost, at 3 s. 11 d. a pound? 8. Bought 63 gallons of wine, at 5 what was the amount? 9. What is the value of 336 yards per yard? Ans. 6 L. 5 s. 4 d. s. 4 d. per gallon, Ans. 16 L. 16 s. of linen, at 2 s. 5 d. Ans. 40 L. 12 s. 10. How much will 240 bushels of wheat come to, at 14 s. 6 d. per bushel ?. Ans. 174 L. 11. If one pound of sugar cost 1 s. 1 d., what will 109 pounds come to ? Ans. 6 L. 2 s. 7 d. 12. What will 400 pounds of lead come to, at 84 d. per pound? Ans. 14 L. 3 s. 4 d. 13. How much will 1500 gallons of oil amount to, at 6 s. 2 d. per gallon? Ans. 462 L.. 10 s. 14. A goldsmith bought 11 ingots of silver, each of which weighed 4 pounds, 1 ounce, 15 pennyweights, 22 grains. What is the weight of the whole? 15. A grocer bought 5 each 12 cwt. 1 qr. 27 lb. weigh? Ans. 45 lb. 7 oz. 15 dwt. 2 gr. hogsheads of sugar, weighing How much did the whole Ans. 62 cwt. 1 qr. 23 lb. 16. Sold 10 pieces of cloth, measuring each 17 yards, 3 quarters, 2 nails. How many yards were there in all? Ans. 178 yds. 3 qrs. 17. There are 5 bags of apples, each of which contains 2 bushels, 3 pecks. How many bushels are there in the whole? Ans. 13 bu. 3 pe. COMPOUND DIVISION. Compound Division teaches to divide any sum or quantity which consists of several denominations. When the divisor does not exceed 12. work by RULE 1. Divide the several denominations of the given sum or quantity, one after another, (beginning with the highest,) and set their respective quotients underneath. When a remainder occurs, reduce it to the next lower denomination, and add it to that denomination in the given sum or quantity. If the number of either denomination be not large enough to contain the divisor, reduce it to the next lower denomination, and add it thereto; then divide as before. PROOF. Multiply the quotient by the divisor, and the product will be equal to the dividend. When the divisor is the exact product of some two factors in the multiplication table, work by RULE 2. Divide by one of said factors, and then divide the quotient by the other factor. If remainders from the lowest denomination occur, proceed with them as directed in note 2, in Simple Division. EXAMPLES. 1. Divide 72 L. 16s. 74d. by 24. Quotient 3L.Os. 84d.×6 L. S. d. 4)72 16 7 6)18 4 12+2 Quotient 3 0 84+1) Proof 3 L. s. d. L. S. 0816 d. 2. Divide 29 15 0 by 21 Quotient 1 8 4 When the divisor is more than 12, and not the exact product of any two factors in the multiplication table. work by RULE 3. Divide the highest denomination of the given sum, by rule 2 of Simple Division, and reduce the remainder, if any, to the next lower denomination, adding to it, when reduced, the number there is of that denomi nation in the given sum; then divide as before, and so proceed. 1. Sold 3 yards of muslin for 3 L. 9 s. 6 d., what was the price per yard? Ans. 1 L. 3 s. 2 d. 2. Paid 17 s. 6 d. for 4 bushels of salt: how much was it per bushel ? Ans. 4 s. 4 d. 3. If 8 pounds of sugar be sold for 10 s. 6 d., what is the price per pound? Ans. 1 s. 32 d 4. Bought 8 yards of linen for 3 L. 11 s. 8 d. What was the price per yard? Ans. 8 s. 111⁄2 d. 5. Sold 132 yards of cloth for 221 L. 18 s. 6 d. How much was it per yard? Ans. 1 L. 13 s. 7 d. 6. What is the price of a bushel of wheat, when 42 bushels are sold for 17 L. 13 s. 6 d.? Ans. 8 s. 5 d. PROMISCUOUS QUESTIONS. 1. Bought 2 pieces of linen, one of which contained 30 yards, and the other 25 yards; the price was 7 s. 6 d. per yard what was the cost of the two pieces? Ans. 20 L. 12 s. 6 d. 2. Sold one piece of cloth, containing 41 yards, at 2 L. 18 s. per yard; and another piece containing 36 yards, at 2 L. 6 s. 6 d. per yard: what is the amount of the whole? 3. A person has 500 L. 18 s. 9 d. man 25 L. 10 s.; to another, 76 L. 18 s. 175 L. 10 s.; and to another, 100 L. he have left after paying these debts? Ans. 202 L. 12 s. He owes to one 4. A grocer has 10 bags of coffee, weighing each 120 pounds, and 2 bags, weighing each 160 pounds. If he sell 560 pounds, what quantity will remain ? Ans. 960 lb. 5. Bought 4 pieces of linen, containing 25 yards, 3 quarters, each, and 3 pieces containing 32 yards, 2 quarters, each; from which was afterwards sold 125 yards: what number of yards was then remaining? Ans. 75 yds. 2 qrs. 6. A farmer has three tracts of land, the first contains 125 acres, 3 roods; the second, 200 acres, 2 roods, 18 perches; the third, 175 acres, 10 perches. He intends dividing this land equally between his two sons: what will be the share of each son? Ans. 250 A. 2 R. 34 P. 7. A person, at his decease, left property to the amount of 2425 L. 19 s. His will directed that 200 pounds should be given to the poor, and that the remainder should be divided, equally, amongst his 3 daughters. What is the portion of each daughter? Ans. 741 L. 19 s. 8 d. |