X4. Make out Mr. Alfred S. Hosmer's bill for .75 of a ton of fertilizer at $36 a ton. X 5. At the rate of $18 a ton, how much will 2 tons 12 hundred pounds of hay cost? 6. How many ordinary tons in a shipment of 30,000 pounds of coal? How many long tons? 7. A farmer received $40 for 11⁄2 tons of potatoes, selling them by the bushel of 60 pounds. How much did he receive per bushel? 8. A cubic foot of water weighs 1000 ounces. How many pounds? 9. How many cubic feet of water weigh 1 ton? 4200 3750 4750 4840 4290 4370 4760 5860 5480 4530 4920 10. These numbers represent the weight in pounds of twelve loads of coal delivered at a schoolhouse. (1) What was the weight of each load in tons? (2) What was the total weight in pounds? In tons? (3) Find the cost at $5.84 a ton. (4) How many long tons in all the loads? 11. Mr. Bartlett bought a ton of fertilizer for $37.50, and retailed it by the hundredweight at the rate of 2 cents a pound. What 4250 was his profit? EXERCISES 1. Change 51 qt. to gal. SOLUTION 4 qt.=1 gal. 51 qt. ÷ 4 = 12 gal. Changing from a lower to a higher denomination is reduction ascending. 2. Change 3 mi. 84 rd. to rd. SOLUTION-1 mi. =320 rd. 3 mi. =3x320 rd. =960 rd. 960 rd+ 84 rd. = 1044 rd. Changing from a higher to a lower denomination is reduction descending. 3. Express 7 pk. 6 qt. as pk. SOLUTION Since 8 qt.1 pk., 6 qt. = pk. = pk. 71 pk. 4. Express 5 gal. 3 qt. as gal. and decimal of a gal. SOLUTION-Since 4 qt.=1 gal., 3 qt. = gal. 5 gal. 3 qt. =5.75 gal. 5. Change mi. to rd. SOLUTION-1 mi. =320 rd. gal. of 320 rd. = 140 rd 6. Change .625 A. to sq. rd. =.75. gal. = .75 SOLUTION-1 A. = 160 sq. rd. .625 of 160 sq. rd. =100 sq. rd. 7. Add 8 ft. 7 in., 5 ft. 4 in., and 6 ft. 10 in. SOLUTION 10 in.+4 in. +7 in.=21 in. =1 ft. 9 in. Write 9 in the in. column, and add 1 to the numbers in the ft. column. 8. Subtract 3 yd. 2 ft. from 9 yd. 1 ft. SOLUTION 1 Since we cannot take 2 ft. from 1 ft., we change 1 of the 9 yd. to ft. and add to 1 ft. 1 ft.+3 ft. =4 ft. 2 4 ft. 2 ft.2 ft. 8 yd.-3 yd. =5 yd. 9 3 2 5 9. Multiply 4 hr. 18 min. by 5. SOLUTION HR. 4 MIN. 18 5 Five times 18 min. = 90 min. = 1 hr. 30 min. Write 30 in the min. column and add 1 hr. to 5 times 4 hr., 21 30 making 21 hr. 26 bu.÷3=8 bu., with 2 bu. remaining. 2 bu.: 8 pk. 1 pk. +8 pk. = 9 pk. 9 pk.÷3=3 pk. = 14. From 17 A. 75 sq. rd. take 5 A. 139 sq. rd. 15. Find the sum of 16 sq. yd. 5 sq. ft., 7 sq. yd. 7 sq. ft., 12 sq. yd. 3 sq. ft., and 6 sq. yd. 4 sq. ft. 16. Divide 18 cu. yd. 8 cu. ft. by 4. 17. Five tubs of butter weighed 32 lb. 4 oz., 28 lb. 11 oz., 37 lb. 15 oz., 35 lb. 9 oz., 29 lb. 5 oz., respectively. Find the total weight. The average weight. 18. Express 285 min. as hr. and decimal of an hr. 19 19. An express train makes a run in 4 hr. 36 min., and a freight train makes the same run in 10 hr. 50 min. How much longer time does the latter take? 20. A rectangular field is 40 rd. 12 ft. long and 28 rd. 8 ft. wide. Find its perimeter in rd. and ft. In ft. Mr. Lewis has a field containing 4 A. 112 sq. rd. Express the area (1) as A. and fraction of an A., (2) as A. and decimal of an A., and (3) as sq. rd. 22. The distance around a square park is 1 mi. 128 rd. What is the length of one side? 23. On a freight car are 6 iron columns, each weighing 1 T. 1475 lb. What is the total weight of the columns? 1 PERCENTAGE 1 How many cents in a dollar? Oral 2. How many hundredths of a dollar is 1 cent? 10 vents? 25 cents? 50 cents? 62 cents? 87 cents? 100 cents? 29 3. Into how many hundredths can a mile be separated? An acre of land? A bushel of grain? A barrel of flour? Any thing? When we think of a thing as divided into 100 equal parts, we speak of, or .01, of it as 1 per cent of it; .05 of it as 5 per cent of it; .50 of it as 50 per cent of it. and so on. The expression per cent is an abbreviation of the Latin phrase per centum, meaning by the hundred. Reckoning by the hundred is such an easy way of com putation that it is largely used in business. The sign % means the same as the words per cent. Thus, 25 per cent and 25 % mean the same thing. There is no principle in percentage not already used in integers and fractions. In percentage we are simply thinking of things as made up of 100 equal parts, or 100 hundredths. 4. What per cent of a century is of it? of it? 18% of it? 5. What per cent of a mile is .01 of it? .17 of it? .56 of it? 6. What per cent of any thing is 16% of it? .25 of it? 188 of it? 7. What per cent of 1 yard is 1 yard? What per cent of a yard is of a yard? of a yard? of a yard? 8. What per cent of 1 is 1? What per cent of 1 is 2? What per cent of 1 is 4? 9. What per cent of a thing is the whole of it?of it?of it? of it? of it? 10. What per cent of 1 is? What per cent of 1 is 1? q? 11. Grace spelled 90 per cent of the words in the spelling lesson. What per cent of the words did she misspell? 12. The grocer sold a barrel of flour at a loss of 10 per What per cent of the cost did he receive? cent. 13. Foxes killed 25 per cent of Mr. Marston's chickens. What per cent was left? 14. If he had 60 at first, how many were killed? How many were left ? 15. Express these per cents decimally : 37% 63% 71% 93 % 16. Express these decimals with the sign %= .03 .11 .17 .41 FRACTIONS AS EQUIVALENT PER CENTS 1. How many hundredths of a dollar is the whole of it? What per cent of it? 2. of a dollar is how many hundredths of it? What per cent of it ? Express as hundredths and as per cents: 33.33 |