of a mile. 2 rods are 4 rods are 9. Three rods are (c) 20 rods? (d) 30? (e) 40 rods? 10. 200 rods are (b) 10 rods? (f) 60 rods? of a mile. 1 mile is 12. Two thirds of 7 times 200 rods. of a rod. 1 rod is ft. are 1 half of how many feet? rd. are 1 half of how many rods? 14. If a piece of rubber hose 5 feet long is worth 60¢, a piece 16 feet is worth (i) If it is worth $1.65 to make 5 ft. of concrete walk, how much is it worth to make 161⁄2 ft. of similar walk? (j) If it costs $75.30 to make 25 rods of road, how much will it cost to make 371⁄2 rods at the same rate? (g) $420 is 50% more than how many dollars? (m) $660 is how many per cent more than $440? (n) $630 is how many per cent less than $840 ? Think of x as standing for the number sought (the base). Then 60 = x and 1 half of x, or of x. Since 60 times 20, or 40. = of x, 1 half of x equals 20, and the whole of x = 2 2 60 = x less 1 half of x, or of x, 50 is 10 more than 40, or 18 of 40 more than 40. 18 = 1 = 25%. ¶ 30 is 10 less than 40, or 18 of 40 less than 40. 18 = 1 = 25%. PERCENTAGE. 1. Ira earns 80 cents a day; Ernest earns 25% more day. Arthur earns 25% less than Ira; Ernest earns (a) Mr. James earns $860 a year; Mr. Brown earns 25% more than Mr. James. How much does Mr. Brown earn? (b) Mr. White earns 25% less than Mr. James. How much does Mr. White earn? 2. Peter earns $60 a month; this is 25% more than Paul earns; Paul earns a month.* (c) Mr. Harris earns $1200 a year; this is 25% more than Mr. Williams earns. How much does Mr. Williams earn? 3. Richard earns $60 a month; this is 25% less than Harry earns; Harry earns — a month.† (d) Mr. Smith earns $840 a year; this is 25% less than Mr. Rice earns. How much does Mr. Rice earn? 4. George earns $40 a month; Joseph earns $50 a month; George earns per cent less than Joseph; Joseph earns per cent more than George. ‡ (e) Mr. Dow earns $1000 a year; Mr. Wheeler earns $1250 a year. Mr. Wheeler earns how many per cent more than Mr. Dow? (f) Mr. Dow earns how many per cent less * Think of x as standing for what Paul earns. Then $60 x and 1 fourth of x, or 5 fourths of x. If $60 is of x, then x is dollars. + Let stand for what Harry earns. Then $60 = x less 1 fourth of x, or of x. If $60 is of x, then x is dollars. In the first part of this problem Joseph's money is the base, and in the second part George's money is the base. Joseph earns $10 more than $40, or of $40 more than $40. George earns $10 less than $50, or of $50 less than $50. REVIEW. (a) Find the sum of all the odd numbers from 59 to 73 inclusive. (b) Find the sum of all the even numbers from 64 to 86 inclusive. (c) Divide 12 by 3. (d) Multiply 12 by . Compare the answers to problems (c) and (d). dollars; 2. At $3 per cwt., 500 lb. of pork cost 550 lb. cost (k) At $3.60 per cwt., what is the value of 500 lb. of pork? (1) Of 550 lb.? (m) Of 510 lb.? cost 3. At 60¢ a gross, 1 dozen pens cost cents; 7 dozen cost cents. (n) Of 520 lb.? cents; 3 dozen (0) At $5.28 a gross, what is the value of 1 dozen fruitcans? (p) Of 8 dozen? (q) At $7.20 a gross, what is the cost of 3 dozen fruit(r) of 3 cans? cans? 4. A floor 15 feet by 17 feet is to be covered with carpet that is 1 yard wide. If the strips are laid lengthwise of the room, and there is no waste in matching the figure, strips will be required, each of which is feet long. (s) How many yards of carpet will be required for the room described in problem 4? (t) How much will it cost at 90¢ a yard? MISCELLANEOUS PROBLEMS. 1. The state of Illinois is about 380 miles long and 225 miles wide at its widest part. A map of Illinois drawn upon a scale of 10 miles to the inch must be inches long and and inches wide. 2. A certain county of Illinois appears upon the map described in problem 1 as a rectangular figure 1.8 inches by 3 inches. The county is miles wide and long. miles (a) How many square miles in the county described in problem 2? Tell the amount of change that should be given in each of the following instances: 3. Bought 4 lb. meat @ 12¢; gave the salesman $1. 4. Bought 34 lb. cheese @ 16¢; gave the salesman $1. 5. Bought 23 lb. cheese @ 164; gave the salesman 50¢. 6. Bought 2 dozen eggs @ 144; gave the salesman $2. (b) Bo't 2.3 tons coal @ $6.50; gave the salesman $20. (c) Bo't 1.4 tons hay @ $9.50; gave the salesman $15. (d) Bo't 31 cords wood @ $4.50; gave the salesman $16. 7. Byron bought 8 melons for 504; he sold one half of them at 104 each and the other half at 5¢ each; he gained cents. (e) A drover bought 36 sheep for $125; he sold one half of them at $4 each and the other half at $4.50 each. How much did he gain? 8. A house rents for $10 per month; the rent for one year and six months is dollars. (f) A house rents for $32 per month. How much is the rent for 2 years and 4 months? |