(a) If one ton of hay is worth $12.75, how much is 12 cwt. of hay worth at the same rate? 9. Eighteen cwt. of coal is of a ton of coal. (b) If one ton of coal is worth $6.50, how much is 18. cwt. of coal worth at the same rate? (c) If 6 cwt. of flour is worth $12.30, how much is 1 ton of flour worth at the same rate? 11. Forty pounds are of 1 cwt. (d) If 1 cwt. of sugar is worth $5.25, how much is 40 lb. of sugar worth? 12. Eighty pounds are of 80 lb., or of 1 cwt. 1 cwt. is times 80 lb. (e) If 80 lb. of beef is worth $5.60, how much is 1 cwt. of beef worth at the same rate? (g) $245 is 40 per cent more than how many dollars? (h) $831 is 40 per cent less than how many dollars? (i) $658 is 163 per cent more than how many dollars? (j) $645 is 16 per cent less than how many dollars? (3) % more than 50.§ 50 is -% more than 30. 30 is -% less than 60 || -% less than 50. 7. 70 is 8. 40 is (k) $450 is how many per cent less than $750? (1) $400 is how many per cent less than $480? (m) $480 is how many per cent more than $360? *40% of what? 40%. of 25 10. 25+ 10 = 35. = †Think of x as standing for the number sought (the base). Then 49=x and 2 fifths of x, or of x. Since 49 is 7 of x, 1 fifth of x is 7, and the whole of x = 5 times 7, or 85. +36= x less 2 fifths of x, or of x. 8 of 50 more than 50. 8. = 40%. = }, or 163 %. PERCENTAGE. 1. Hiram had $50; Samuel had $40; Hiram had more than Samuel; Samuel had % less than Hiram. -% (a) Mr. Cooper has 880 bushels of corn; Mr. Judd has 660 bu. Mr. Judd has how many per cent less than Mr. Cooper? (b) Mr. Cooper has how many per cent more than Mr. Judd ? 2. In 1896 a farmer raised 60 bu. of oats to the acre; this was a 50% better yield than he had in 1895; in 1895 he raised bushels to the acre.* (c) In 1896 a farmer sold 726 bushels of wheat; this was 50% more than he sold in 1895. he sell in 1895? How many bushels did Benjamin earns 40% dollars a month. 3. William earns $30 a month; more than William; Benjamin earns Joseph earns 50% more than Benjamin; Joseph earns dollars a month. (d) Isaac earns $27.50 a month; Ralph earns 40% more than Isaac. How much does Ralph earn per month? (e) Clinton earns 50% more than Ralph. How much does Clinton earn per month? 4. Good cheese is worth 184 a pound; this is 50% higher than it was 1 year ago; a year ago it was worth cents. (f) A certain brand of flour is worth $5.55 per barrel. If this is 50% more than it was worth a year ago, what was it then worth? * Think of x as standing for the yield of 1895. Then 60 bu. = x and 1 half of x, or of x. Since 60 bu. = } of x, x = — bushels. REVIEW. 1. From April 25th to May 5th it is days. (a) How many days from April 25th to August 5th? 2. From Feb. 20th of a leap-year to March 10th, it is days. (b) How many days from Feb. 20th of a leap-year to July 4th? (c) Divide 64 by . (d) Multiply 64 by §. Compare the answers to problems (c) and (d). 3. = hundredths. = thousandths. (e) Change to hundredths. (f) Change & to 1000ths. (g) Change to hundredths. (h) Change to 1000ths. Change the following decimal fractions to common fractions and reduce them to their lowest terms: 6. 250 brick @ $8. (0) 520 brick @ $6. walk around a rectangular 5. 5500 brick at $8 per M. (n) 7600 brick at $6 per M. (p) There is a 4-foot gravel grass plot that is 30 ft. by 40 ft. How many feet in the perimeter of the grass plot? (q) How many feet in the perimeter of the outside of the walk? (r) How many square feet in the grass plot? (s) How many square feet in the gravel walk? (t) If one ton of coal is worth $7.50, how much is 14 cwt. of coal worth? (u) If one hundredweight of corned beef is worth $4.50, 90 lb. of beef is worth how much? * Divide the numerator and the denominator of 31 by 124. 100 MISCELLANEOUS PROBLEMS. 1. I am thinking of the surface of a box that is 6 in. long, 4 in. wide, and 3 in. high. The surface of the bottom is square inches. The surface of one side is inches. The surface of one end is square square inches. The surface of the entire box-top, bottom, sides, and ends-is square inches. (a) Find the entire surface of a box that is 15 in. long, 12 inches wide, and 8 inches high. (b) Make a receipted bill of the following goods sold by yourself to your teacher: March 6, 150 lb. sugar @ 414; 7 lb. coffee @ 35¢; (c) A farmer sold 15 head of cattle weighing 19650 lb. at $5.40 cwt. How much did he receive for them? (d) What was the average weight per head? (e) If there is 1 half a ream in a package of paper, how many sheets in 6 such packages? (f) A merchant had $275 in the bank Monday morning. His deposits for the week were as follows: Monday, $86; Tuesday, $55; Wednesday, $72; Thursday, $64; Friday, $83; Saturday, $124. He drew from the bank during the week $354.24. How much remained on deposit? 2. I gave 3 doz. eggs, worth 154 a dozen, in part payment for 20 lb. sugar at 4¢ a pound. There remains unpaid cents. (g) I gave 2250 lb. hay at $10 per ton in part payment for 2 tons of coal @ $6.50 per ton. How much remains unpaid? |