30. If 4 pipes will fill a cistern in 9 hours, in what time will 7 pipes fill it? 3 pipes? 9 pipes? 11 pipes? 2 § 38.-1. If a yard of cloth cost 14 dollars, what would 1 yard cost? 2. 1 is of what number?-Ans. 1 is times 1; 2 times 1 is 2, and 2 times is 2 which added to 2 is 3. 1 of 2 1, 3. If of a box of lemons cost 33 dollars, what will a whole box cost? (a) SOLUTION.-If 3 is 1, 5 times 3 is; (or the whole number;) 5 times 3 is 15, and 5 times 10 3 is 3, which added to 15 makes 18. Therefore, 3 is of 18. 18. A man bought a barrel of flour, paying at the rate of 3 dollars for each fifth; what did it cost him? § 39.-1. If 2 thirds of a bushel of wheat cost 5 shillings, what would of a bushel cost? 5 is 2 times. what number? 3 SOLUTION.-If of a bushel cost 5 shillings, of a bushel would cost of 5 shillings; of 5 shillings is 24 shillings. Therefore, of a bushel would cost 2 shillings. 5 is 2 times of 5; of 5 is 2; therefore, 5 is 2 times 24. 2. A man paid 14 dollars for 5 of a cask of wine; what would have cost at the same rate? 1 3. 16 is of some number; what is of the same number? 4. 5 is 3 times what number? 5. 6. 7. 8. 7 is 4 times what number? 9 is 7 times what number? 8 is 9 times what number? 9. 11 is 6 times what number? 10. 10 is 8 times what number? 11. 12 is 11 times what number? 12. 13 is 7 times what number? 13. 15 is 8 times what number? 14. 20 is 3 times what number? 15. 28 is 9 times what number? 16. 37 is 6 times what number? 17. 39 is 7 times what number? 18. 47 is 8 times what number? 19. 53 is 11 times what number? 20. 67 is 5 times what number? 21. 89 is 7 times what number? 12 22. If a man can travel 1 miles in of a day, how far can he travel in 1 day? in 3 days? in 7 days? 23. If I pay 34 dollars for of a barrel of trout, what would be the cost of a whole barrel? of 3 barrels of 8 barrels ? 24. If 3 cords of wood cost of a dollar, what would 5 cords cost? 5 25. Bought of a ton of hay for 11 dollars; what would 2 tons cost at the same rate? 26. If of a barrel of fish cost 7 dollars, what would a barrel cost? 27. 2 is 2 of what number? 41. If you pay 41 dollars for 13 barrels of sugar, what is that a barrel? 8 5 dollars; if 5 dollars is, 5 times 5 dollars are 5 times 5 dollars are 25 dollars, and 5 times of a dollar is ğ of a dollar, which added to 25 dollars, makes 25 dollars. of a dollar is 12 cents, and 5 eighths are 5 times 12 cents; 5 times 12 cents are 60 cents, and 5 times of a cent is 54 2 cents, which added to 60 cents, make 62 cents. Therefore, 1 barrel of sugar would cost 25 dolars and 62 cents. 42. At 45 dollars for 17 barrels of oil, what would one barrel cost? 3 barrels ? 43. How many times is 12 contained in of 47? 44. How many times is 11 contained in of 45? 45. A boy having 50 cents, spent of it for raisins, at 8 cents a pound; how many pounds of raisins did. he buy? SOLUTION. First find how much money he spent. of 50 cents is 74 cents; 5 times 7 cents are 359 cents; he bought as many pounds of raisins as the number of times that 8 cents, the price of 1 pound, are contained in 35 cents. 8 cents in 35 cents 43 times, and 8 in is contained of a time. 5 56 5 56 56 21 569 and added, make 26-13, which added to 4, makes 413. Therefore, he bought 413 pounds of rai sins. 28 46. If a man can buy 7 sheep for 28 dollars, how many dollars would it require to buy 11 sheep at the same rate? 47. If of a ton of hay cost 10 dollars, what should be paid for 3 tons at the same rate? 48. What would be the cost of 4 yards of cloth, if of a yard cost 23 dollars? 3 49. Allowing of an acre of ground to produce 123 bushels, what would 4 acres produce, at the same rate? 50. If 91⁄2 tons of hay be bought for 38 dollars, what would be the cost of 51⁄2 tons, at the same rate? 19 2 will SOLUTION.-91 19 19; if 12 cost 38 dollars, cost of 38 dollars, which is 2 dollars; 2 halves, or 1 ton, will cost 2 times 2 dollars; 2 times 2 dollars 4 dollars; 5 tons will cost 5 times 4 dollars; 5 times 4 dollars are 20 dollars, and of 4 dollars is 2 dollars, which added to 20 dollars 22 dollars. Therefore, if 93 tons of hay cost 38 dollars, 5 tons would cost 22 dollars. 51. At 24 dollars for 51⁄2 barrels of flour, what would be the cost of 7 barrels ? 52. A farmer gave 14 dollars for 31⁄2 tons of plaster, and sold 14 tons to his neighbor, at the same price per ton; what did the part sold come to? 53. If 20 cords of wood can be bought for 25 dollars, what number of cords could be bought for 12 dollars? 54. What is the price per yard of cloth, when 31⁄2 yards cost 43 dollars? What would 5 yards cost? 55. If of an acre of land cost 7 dollars, what would be the cost of 5 acres? 9 10 56. If 2 tons of lead cost 30 dollars, what would be the cost of 31⁄2 tons ? 57. When flour is 32 dollars a barrel, how many barrels can be bought for 7 dollars? § 40.-1. A boy had of an apple, which he wished to divide equally between his 2 sisters; what part of the whole apple did each receive ? SOLUTION. Since he gave sons, he gave each of 2; (or 3 times as much as 1 of 1.) 2. What is of ?? 3. What is 4. What is 5. What is of of of of an apple to two perofis ; of 2 is &; of of of 4 6. What is of 2! of of? of? 1 of 1 3 1 of 11/1 ཕ ལ of 1911 of 3? 12 of ? 2 of 2? of of 10 11 |