4. At $2.40 per cwt., 50 lb. of flour are worth 5. At 50¢ per cwt., 1050 lb. cost -; 850 lb. cost 1250 lb. cost -; 950 lb. cost ; 1150 lb. cost (d) At $2.70 per cwt., how much will 1450 lb. cost? (e) 1950 lb.? (f) 1350 lb. ? 6. At $2.40 per cwt., 25 lb. of flour are worth 7. At 604 per cwt., 25 lb. are worth are worth cents; 175 lb. are worth cents; 75 lb. (g) At $2.60 per cwt., how much will 1225 lb. cost? (h) 1275 lb.? (i) 1525 lb. ? 8. At $2.50 per cwt., 20 lb. of flour are worth 9. At 60 per cwt., 20 lb. are worth are worth are worth cents; 60 lb. are worth cents. cents. cents; 40 lb. cents; 80 lb. (j) At $2.50 per cwt., how much will 1220 lb. cost; (k) 1240 lb.? (1) 1260 lb. ? 10. At $2.30 per cwt., 10 lb. of flour are worth 11. At 804 per cwt., 10 lb. of corn are worth cents; cents; 40 cents; 60 lb. cents. (m) At $2.50 per cwt., how much will 1210 lb. cost? MEASUREMENTS. 1. Draw carefully upon your slate or paper, on a scale of in. to the foot, a diagram of the floor of a room that is 17 ft. long and 14 ft. wide. (a) How many square feet in the floor? (b) How many feet of flooring will be required for the floor if, on account of the waste and the loss in matching, you must buy 1 fourth more feet of flooring than there are square feet to be covered? (c) Making no allowance for doors, how many feet in length are the mop-boards of the room? (d) If this floor is to be covered with a carpet that is 1 yard wide and the strips are to "run lengthwise" of the room, how many feet long will each strip be? (e) How many strips must be purchased? (f) How much of one strip must be turned under or cut off? (g) How many feet (in length) of carpet must be purchased if there is no waste in matching the strips? (h) How many yards must be purchased? (i) How much will the carpet cost at 60¢ a yard? (j) If the figure of the carpet is such that there is waste. in matching, more carpet must be purchased than would otherwise be required. How much more if the waste on each strip (except the first) is 1 foot? (k) How much, including the waste, will the carpet cost at 60¢ a yard? (1) If the same floor is to be covered with carpeting that is 1 yard wide, costing 40¢ a yard, the strips to run lengthwise, and the waste in matching being 6 in. on each strip except the first, how much will the carpet cost? (a) Twelve rods are what part of a mile? (c) 20 rods? (d) 30? (e) 40 rods? (b) 10 rods? (f) 60 rods? of 12 feet, or of a rod. 1 rod is feet. feet. feet (15) are 1 half of 14. If a piece of rubber hose 51⁄2 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 16 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? (h) $420 is 50% (i) $420 is 25% (j) $420 is 25% (k) $420 is 20% less than how many dollars? (1) $420 is 20% less 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 3 of x. Since 60 = 3 of x, 1 half of x equals 20, and times 20, or 40. 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. 181 25%. = the whole of x = 2 PERCENTAGE. 1. Ira earns 80 cents a day; Ernest earns 25% more than Ira; Ernest earns than Ira; Arthur earns a day. Arthur earns 25% less a day. (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 Mr. Wheeler earns how many per cent more $1250 a year. than Mr. Dow? (f) Mr. Dow earns how many per cent less x and 1 fourth of x, or *Think of x as standing for what Paul earns. Then $60 = - dollars. 5 fourths of 2. If $60 is of x, then x is Let a 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. |