(a) At $5.20 a ton, how much will 4600 lb. of coal cost? Operation. Explanation. 4600 lb. = 2.3 tons. One ton costs $5.20. 1 tenth of a ton costs $.52. $5.20 3 tenths of a ton cost 2.3 2 tons cost 2.3 tons cost (c) 4200 lb. @ $5.60. (e) 6400 lb. @ $5.25. (g) 5400 lb. @ $5.80. Find the cost : (d) 6200 lb. @ $5.35 per ton. 3 yd. are inches. months. days. quarts. pints. (h) Change 148 yd. to feet. (i) Change 15 yd. to inches. (j) Change 24 hr. to min. (k) Change 24 hr. to seconds. (1) Change 35 yr. to mo. (m) Change 52 wk. to days. (n) Change 37 lb. to oz. (0) Change 49 gal. to quarts. (p) Change 43 bu. to qts. (1) Change 56 pk. to pints. (r) How many square inches in a 5-foot square ? 1. A rectangular solid has faces. Each за rectangle. 2. Some or all of the faces of a rectangular solid may be squares. 3. If each face of a rectangular solid is a square, the solid is called a 4. If some of the faces of a rectangular solid are oblongs, the solid is not a cube. 5. The area of a rectangular surface 3 inches by 4 inches is 6. The solid content of a rectangular solid 3 in. by 4 in. by 2 in. is cubic inches. 7. The area of a rectangular surface 3 inches by 5 inches is square inches. 8. The solid content of a rectangular solid 3 in. by 5 in. by 2 in. is cubic inches. 9. The area of a rectangular surface 2 inches by 5 inches is square inches. 10. The solid content of a rectangular solid 2 in. by 5 in. by 3 in. is cubic inches. square inches. RATIO AND PROPORTION. 1. One seventh of 28 is 28 is of 2. One fifth of 28 is 28 is of 3. One third of 28 is 28 is of (a) Find 1 fourth of 387. (b) 387 is 1 fourth of what? (c) Find 1 fifth of 724. (d) 724 is 1 fifth of what ? 10. Five sixths of 30 are 1 third of earn 12. Twelve is of 9, or and times 9. A man can and times as much in 12 days as he can earn in 9 days. If he can earn $24 in 9 days, in 12 days he can earn dollars. (k) If a man can earn $840 in 9 months, how many dollars can he earn in 12 months. .13. If 9 lb. of nails are worth 33 cents, 12 lb. are worth cents. (1) If 9 cords of wood are worth $42.75, how much are 12 cords worth? PERCENTAGE. 665 per cent =.66 = . = (1) 1. 66; per cent of 12 = 2. 75 per cent of 12 = 3. 66; per cent of 24 4. 75 per cent of 24 5. 50 per cent of 5 = 6. 25 per cent of 13 7. 33} per cent of 10 = 8. 20 per cent of 16 9. 16; per cent of 25 10. 14 per cent of 22 = 11. 12; per cent of 33 12. 11; per cent of 19 = 13. 10 per cent of 21 = (2) 20. Twenty-five per cent of 80 sheep are — sheep. 21. Twenty-one sheep are 25% of — sheep 22. Twenty-five sheep are — per cent of 75 sheep. 23. Forty sheep are per cent of 60 sheep. PERCENTAGE. 1. 75 per cent of 36 663 per cent of 36 = (c) Find 3% of $375. This means, find 3 hundredths of 375. Operation. $375 Explanation. .03 $11.25 NUMBER STORY. re Mr. A collected money for Mr. B. It was agreed that Mr. A should keep 3% of all he might collect to pay him for his trouble. He collected $375; he should keep $11.25 and “pay over the mainder to Mr. B. (d) How much should Mr. A “pay over” to Mr. B ? 36 is 663% of (i) 453 is 75% of what ? (j) 562 is 663% of what? (k) Forty-eight dollars are 3% of what? This means, $48 are 3 hundredths of how many dollars ? Operation. Explanation. $48 : 3 = $16. One hundredth of the unknown number is $16 x 100 = $1600. $16. 100 hundredths (the whole) are NUMBER STORY. A lawyer collected some money for 3% of the amount collected; his share (commission) was $48; the amount collected was $1600. (1) How much should the lawyer pay over to the man for whom he collected the money ? |