ALIQUOT PARTS 203. 1. How many times is $.25 contained in $1? .25 lb. in 1 lb. ? .25 in 1? 25 in 100? 250 in 1000 ? 2. Mention several parts of $1 that are exactly contained in $1; parts of 1 that are exactly contained in 1, that is, aliquot parts of 1; aliquot parts of 100; aliquot parts of 1000. 3. What part of $1 is $.121? Beginning with $.121, add $.121 successively until you reach $1.25. Which of these multiples of $.121 are aliquot parts of $1? 4. What part of $.25 must be added to $.25 to give $.371 ? 5. What part of $.50 added to $.50 will give $.621 ? 6. What part of $1 subtracted from $1 will give $.871? 8.75? $.90? $.66? $.831? 7. What part of $1 added to $1 will give $1.10? $1.121? $1.20? $1.25? $1.371? $1.50? 8. What is the cost of 44 articles at $1 each? at $.50, or $1, each? at $.25, or $4, each? at $1.25, or $1+81, each? 9. From the cost of any number of articles at $1 each, how may the cost at $.50 each be found? at $.25? at $.121? 205. The following aliquot parts of 1 and multiples of such aliquot parts should be committed to memory. We may now construct the parts of 10, 100, 1000, thus: .33}=} 1.50 = 1 + 1/ 206. 1. Find the cost of 27 buggies at $75 each. $2700 At $100 each, 27 buggies would cost $2700. In the following, count any fraction of a cent in results as an extra cent. be bought for $1? 41. How many 50-cent articles can $5? $75? $250? $105? $225? 42. How many 25-cent articles can be bought for the amounts mentioned in exercise 41? 121-cent articles? 20-cent articles? 43. How many yards of cloth costing 663 per yard can be bought for $144 ? 144 yd. 72 yd. 216 yd. At $1 per yard, 144 yards could be bought for $144. Therefore 1 × 144 yards can be bought for $144. How many yards of cloth can be bought for $120 at 60. Find the cost of 288 articles @ 50%; @ 51; @ 494. 61. Find the cost of 432 articles @ 33}¢; @ 33¢ ; @ 331¢. 62. A dealer bought 1024 pounds of tea at 471⁄2¢ per pound and sold it at 61 per pound. Find his gain. REVIEW PROBLEMS IN INDUSTRIES 207. 1. A coffee planter had 85.8 acres of land on which were planted 500 coffee trees 4. How much did he gain, if the whole cost of production was $2951.52 ? 5. How many cents per pound did it cost him to raise the coffee? How much was his gain on each pound? 6. How much did he gain on each acre? 7. The man who bought the coffee transported it on beasts of burden to the nearest shipping port at a cost of $274.56, and sold it at 7 per pound. Find his gain. 8. The coffee was shipped to the New York market in bags averaging 132 pounds each. How many bags were required? 9. To send the coffee by ship to New York cost 371 per bag. How much were the freight charges? 10. The coffee was imported by a coffee roaster. If coffee loses .15 of its weight in the process of roasting, how much did this lot of coffee weigh when roasted? 11. One year 11.75 pounds of coffee was the average amount used by each person in the United States, while in Great Britain the average per person was only .67 of a pound. At this rate how much more coffee would be used per year by a city of 75,000 inhabitants in the United States than by a city of the same population in Great Britain? 12. On a tea plantation of 240 acres in India there were 512,640 tea plants. Find the number of plants per acre. 13. At the age of three years the plants were 4 feet high. If 25 feet were then pruned from each plant, how high was each? 14. A woman could pick only 7 pounds of leaves per day from plants of this age, but twice as much from plants eight years old. Find the earnings of a woman in 6 days, picking leaves from the 8-year-old plants at per pound. 15. If each plant furnished 14 pounds of green leaves during the year, what was the average yield of fresh leaves in pounds per acre ? 16. It took 4 marketable tea. plant? pounds of green leaves to make 1 pound of How much finished tea was produced per 17. Find the number of pounds of marketable tea made from the green leaves of one acre; of the entire plantation. |