(i) Two thirds of 53.7 are 1 half of what number? (j) One half of 65.6 is 2 thirds of what number? 9. If a man can earn $12 in 2.1 days, in 2.8 days he (k) If a man can earn $75.45 in 2.1 months, how much can he earn in 2.8 months? 10. If 2.8 tons of coal are worth $12, 2.1 tons are worth dollars. (1) If 2.8 tons of coal are worth $9.60, how much are 2.1 tons worth? 11. If a pile of wood 4 ft. wide, 4 ft. high, and 8 ft. long is worth $5, a pile 4 ft. wide, 4 ft. high, and 32 ft. long is worth dollars. *One fourth of 36 tenths is Three fourths of 36 tenths are tenths. tenths, or 2 and of 21 tenths. tenths. 13. Harry paid 87% of his money for books and had $2 left; before he bought the books he had dollars; the 14. Mr. Hill set 40 trees in his new orchard; 8 of them died the first year; per cent were alive. per cent of the trees were dead; 15. Twenty per cent of 50 is 16. Forty per cent of 50 is per cent of 30. per cent of 80. (g) A lawyer's commission for collecting money was 8%;* he collected $875. How much of this money should he keep? and how much should he "pay over" to the man for whom he collected the money? 2. 15 is 37 per cent of (h) 165 is 371% of what? (j) 161 is 87% of what? (1) 135 is 3% of what? (2) 35 is 621% of (i) 165 is 621% of what? (k) 168 is 75% of what? (m) 168 is 7% of what? (n) A lawyer's commission for collecting money was 8%;* his commission amounted to $34.80. How much did he collect? and how much did he "pay over" to the man for whom he collected the money? † (3) per cent of 48. 30 is 3. 18 is per cent of 48. 4. Forty-five dollars is what per cent of $500? This means, $45 are how many hundredths of $500 ? + 5. A lawyer collected $500; he retained as his commission $55 of this sum, and paid the remainder, $445, to the man for whom he collected the money; the lawyer's commission for collecting was -%. *8% of what? 8% of the amount collected. † $34.80 is 8 hundredths of what? One hundredth of $500 is $5. See page 58, problem (o). REVIEW. -th of 1. One fourth of 1 tenth of a number is one 1 fourth of 1 tenth of 120 is the number. (b) Divide 75.6 by 40. 2. One fifth of 1 hundredth of a number is one of the number. 1 fifth of 1 hundredth of 3500 is (c) Divide 950 by 500. 3. Multiply 19 by 33. (h) Multiply 276 by 5.75. Compare the answers to problems (g) and (h). 4. The sum of 86 hundredths and 5 tenths is (i) Add 735 ten-thousandths and 642 thousandths. 5. One mile is feet. 1 mile is rods. -th (j) Change 54 mi. to feet. (k) Change 83 mi. to rods. 6. A piece of land 4 rods by 80 rods is. (1) How many acres in a piece of land 18 rd. by 60 rd. acres. 7. A pile of wood 4 ft. wide, 4 ft. high, and 40 ft. long contains cords. (m) How many cords in a pile of wood 4 ft. wide, 4 ft. high, and 432 ft. long? Perform the operations indicated and tell number stories: (n) 48 cu. ft. x 6 x 8 (t) 2350 lb. x7 = * See page 7, note 16. = (0) 2304 cu. ft. ÷ 128 cu. ft.=† = +Number story for (n) and (o). In a pile of wood 48 ft. long, 6 ft. wide, and 8 ft. high there are cords. Number story for (p) and (q). A rectangular piece of land 96 rods by 25 rods fill MISCELLANEOUS PROBLEMS. 1. If I put 5 oz. of candy in each bag, 3 lb. of candy will bags, with ounces over. (a) If I put 2 bushels of oats in each bag, how many bags will one ton of oats fill? 2. Henry was born on January 5, 1885; on Jan. 5, 1896, he was years old. (b) Queen Victoria was born on May 24, 1819. How old was she on the 24th day of May, 1897 ? 3. A dealer bought 5 gal. of milk at 14¢ a gal.; he sold it at 54 a quart, but lost 2 quarts in over-measurement and waste; he gained cents. (c) A grocer bought 3 bbl. sugar, each containing 340 lb.; he paid 44 a lb. If he sells it at the rate of 20 lb. for a dollar, but loses 40 lb. by over-weights and waste, how much does he gain? Edward bought 2 lb. candy at 18¢ a pound, 2 lb. walnuts at 20¢ a pound, and 1 qt. of pop-corn for 104; for all he paid cents. Find the amount of each of the following bills: is 7 heads Cabbage @ 8¢ 5. If the divisor is 6 and the quotient is 4, the dividend (f) If the divisor is 128 and the quotient 163, what is the dividend? |