6. A dressmaker made 2 waists. One of these waists required 23 yd. of silk and the other 31 yd. of silk. How many yards were used for both waists? 7. Find the cost of 4 books at $ 11 each. 8. Find the cost of the following bill of goods: 8 yd. of velvet at $3 per yard. 9. Make out a bill for goods purchased from some dealer in your town. 10. Make a receipted bill for work and material furnished by William Edwards, New York City, to David Jones: 3 days' labor at $3 per day. Paint, etc. $13. To Find what Fraction One Number is of Another Number 377. 1. Draw a rectangle 4 in. long and as wide. 2. Divide the length into 4 equal parts. How long is each part? 3. Divide the width into 3 equal parts. How wide is each part? 4. Draw lines through these points to divide the rectangle into small squares. 5. How many small squares are there in the rectangle? 8. 4 squares are what part of 12 squares? 9. 9 squares are what part of 12 squares? 10. What part of 12 squares are 3 squares? 8 squares? 10 squares? 1 square? 11. What part of 6 squares are 6 squares? 3 squares? 2 squares? 4 squares? Oral Exercise 378. 1. What part of 1 ft. is 1 in. ? 2. 2 in. is what part of 12 in.? 3. What part of 1 ft. is 3 in.? 4 in.? 6 in.? 8 in.? 9 in.? 10 in.? 4. What part of 1 doz. is 2 units? 3 units? 4 units? 6 units? 8 units? 5. What part of 1 lb. is 4 oz.? 8 oz.? 12 oz.? 2 oz. ? 1 oz. ? 6. What part of 1 gal. is 1 pt.? 1 qt.? 2 qt.? 3 qt.? 4 qt.? 7. What part of 1 bu. is 1 pk.? 2 pk.? 3 pk.? 8. What part of 1 hr. is 15 min.? 20 min.? 30 min.? 40 min. ? 10 min. ? 9. What part of $1 is 10? 20? 25¢? 50¢? 75¢? 10. What part of 1 wk. is 1 da.? 2 da. ? 3 da.? 5 da.? 7 da. ? Written Problems - Review 380. 1. If 1 doz. oranges cost 24, what will of a dozen cost? 2. At 24 a dozen, what will be the cost of 1 doz.? 3. A piece of goods is worth $75. What is g of the piece worth? 4. A boy invited 16 playmates to a picnic. If of them accepted, how many boys attended the picnic ? 5. A man planted 36 trees. If 1⁄2 of the number lived, how many died? 6. Mr. Jones sold of a piece of land which he valued at $87. What did he receive from the sale? 7. A girl has read of a book of 165 pages. How many pages has she read? 8. If a girl has read of a book of 165 pages, how many pages has she still to read? 9. A piece of ribbon, 4 yd. in length, is cut into 3 equal pieces. What is the length of each piece? Review Problems - Miscellaneous 381. 1. If hay costs $12 a ton, what is the cost of 47 tons? 2. If hay costs $12 a ton, what is the cost of 1 tons ? 3. What is the cost of 15 doz. eggs at 39¢ per dozen? 4. Yesterday there were 14 pupils absent from class. If this number is just of the class, how many pupils are there in the class? 5. How many dozens are there in one hundred thirty-two oranges? 6. A merchant buys sugar at 6 a pound and sells it for 8 a pound. What is his profit on 46 lb. ? 7. A girl has 136 beads, which is 4 times as many as her schoolmate has. How many has her schoolmate? 8. The sum of 2 numbers is 237. One of the numbers is 94. What is the other? 9. A woman paid $11.25 for 9 yd. of cloth. What was the price of 1 yd.? 10. At $ per yard, what is the cost of 75 yd. of mull? 11. A boy can write 25 words a minute. How many can he write in half an hour? The In this exercise we have been changing the form of the fraction without changing the value. process of changing the form of the fraction without changing its value is called reduction. Exercise in Construction 383. Draw 4 squares of equal size. Divide the sides and draw lines to divide each square into 4 equal parts. Let the square represent 1 unit. 1. How many fourths in 1 unit? 2. How many fourths in 14 units? |