109. Mr. Hill can cut 3 cords of wood in one day. How many days will he require to cut 383 cords? 110. I bought 18 turkeys for $323. What was the average price of each? 111. A man divided $16 among some poor children, giving to each $13. How many children received a share? 112. A shoe dealer paid $60 for a case of overshoes, at $3 a pair. How many pairs of shoes were there in the case? 113. Mr. Long earns $ 263 in a week, or six working days. How much does he earn per day? 114. How many yards of cloth can be bought for $ 65, at $7 a yard? 115. What is the average weight of 12 men whose united weight is 1768ğ pounds? 116. A farmer raised 536 bushels of wheat from a field containing 21 acres. What was the average yield per acre? 117. How many steps will it take to walk a mile, or 5280 feet, each step being 23 feet in length? 118. At $331 per acre, how many acres of land can be purchased for $6750% ? 119. I paid $15 for 25 bushels of potatoes. What did I pay per bushel? 120. In a field containing 3 acres there were raised 87 bushels of grain. What was the yield per acre? 121. Four men in partnership gain $43274. If they share equally, what will be each one's share of the gain? 122. What is the price of hay, when 54 tons are worth $65? 123. I paid $361 for 67 cords of wood. price per cord? What was the FRACTIONAL FORMS. 159. Expressions of unexecuted division of fractions are often written in the form of a fraction. Such expressions are usually termed Complex Fractions. Thus, 5, written and 613, 1. Find the value of The expression means 33÷, and is solved like FRACTIONAL RELATION OF NUMBERS. 160. To find what part one number is of another. 1. What part of 8 is 21? SOLUTION. -1 is of 8; hence, 2 is 2 times of 8, or f of 8. What part of 21 of 8, or SULUTION. —4} = 22 and 2} = 14. 14 is 14 of 27. Therefore 21 is FRACTIONAL RELATION OF NUMBERS. 129 161. A number and its relation to another number given, to find the other number. 22. A man spent $450, which was of his money. How much money had he? 23. Mr. B bought a house for $1260. The house cost him as much as his store. What did he pay for the store? 24. A drover paid $2914 for a lot of sheep, which is of what he sold them for. How much did he receive for them? 5 21 25. C bought a cow for $31.50, which was of what he paid for a horse. What was the cost of the horse? 26. A lady bought a dress for $21.65 and found that she had spent of her money. How much money had she? 27. D has a library which contains 1264 books. His library contains as many books as E's. How many books are there in E's library? STAND. AR. -9 28. A farmer raised 672 bushels of wheat, which was of the number of bushels of corn he raised. How much corn did he raise ? 29. Mr. H built a barn which cost him $2513. The barn cost him as much as his house. What was the cost of the house? 30. A man burned 1560 bushels of lime in September, which was of the number of bushels burned in October. How much lime did he burn in October? 31. A merchant sold on Monday goods amounting to $376.70, which was of the amount received for goods on Tuesday. What was the amount received for Tuesday's sale? 32. Mr. K deposited in one bank $1936, which was of the money which he deposited in another bank. How much did he deposit in the latter bank? 33. A man left his son $19,000, which was the value of his estate. What was the value of his estate? 34. 3300 feet are of a mile? How many feet are there in a mile? 35. A man sold his house for $36,000, which was of its cost. How much did the house cost? 36. Mr. Black spends $48 a week, which is of his weekly income. Mr. Cutler spends $60 a week, which is of his weekly income. Which of them has the greater income, and how much greater? 37. A man has debts amounting to $2193. This amount is equal to of his resources. How much money is he worth? 38. A man expended 18 of his fortune in buying a farm for $4826. What was his fortune? |