4. What will be the total cost of : 1 sack flour $13, sugar $1, dried beef $ , and corned beef $7? 5. A boy is 4 ft. 5 in. tall. His sister is 3 ft. 5 in. tall. How much taller is the boy than his sister ? 6. The top of a door is 121 feet above the ground, and the bottom of it is 4 feet above the ground. How high is the door? 7. Four loads of coal weighed as follows: 2 tons, 14 tons, 24 tons, and 24 tons. How much did the four loads weigh? 8. The rainfall in April was 41 inches, in May 34 inches, and in June 41 inches. What was the total rainfall for the three months ? 9. From a barrel containing 517 gallons of oil, 177 gallons were sold in one day, and 252 gallons another day. How many gallons remained unsold? 10. A station agent who was paid $60 per month spent in one month $12% for groceries, $718 for meat, and $151 for other expenses. How much did he save ? 11. A farmer drives in one day 124 miles, then 67 miles, and then 91 miles. How far does he drive? 12. To the sum of 229 and 15add their difference. 13. From 38,24 take the sum of 167 and 1241. 14. The feed for a horse cost $58 per month; for a cow, $4} per month. If a man has 2 horses and 2 cows, how much will it cost to feed them a month ? 15. A boy walked from his home east along a certain road 17 miles. He then walked to a place 21 miles west of his home. How far had he walked when he got home? 16. A man purchased a chair for $41, a stove for $63, a table for $81, and a bookcase for $12.00. How much did they cost ? 17. When a grocer receives a $10 bill in payment for sugar $, vegetables $110, fruits $4, rice $1, and cakes $14, how much change does he give ? 18. A student in the city in one month paid $427 for car fare, $181 for board, $74 for room, $2% for laundry, and $61 for books. How much did his expenses amount to during that month ? 19. During the same month he earned $30 by tutoring, $181 by selling books, and $12% by chemical work. How much did he have left after paying expenses ? 20. In 3 days in June the sun shone in New York 143 hours, 143% hours, and 1418 hours. How many hours of sunshine were there in these 3 days ? How many hours without sunshine were there? MULTIPLICATION OF FRACTIONS Multiplying a fraction by a whole number. 2 3 feet = lyard 1. Into how many halves is the square divided ? 2. Two times ] the square square. 3. Two times $1 dollar. 4. Four times $1 dollar. 5. Five times $1 dollar. 6. Into how many feet is the yard divided ? 7. What is one of these parts called ? 8. What are two parts called ? 9. 2x } of a yard yard. 10. 6 x } of a yard yards. 11. 6x] of a circle circles. 12. 12 x 1 of a circle circles. 13. 4 x ] is the same as 1 + 1 + 1 + 1. 14. 6 x 1 = j, or 3. Therefore to multiply 1 by 6, we say six times į = 9, or 3. Finding fractional parts of whole numbers. 1. 1 of 1 unit = unit. 2. 1 of 2 units = unit. 3. 1 of $2 dollar. We have learned that we may divide a unit into any num. ber of parts and then take any number of these parts; thus, of $60 means that $60 (60 units) is divided into 4 equal parts of $15 each and that 3 of these parts, or $ 45, are taken. Since of $60 = $15, i of $60 = 3 x $15 or $45. Find the following: 4. Å of $24. 8. 5 of 36 minutes. 12. 7 of 72 cents. 5. % of 60 horses. 9. 11 of $144. 13. ii of 99. 6. j of 36 days. 10. i of 78 miles. 14. i of 75. 7. of 20 hours. 11. Í of 44 rods. 15. { of 84. 16. If I wish to find } of 4, into how many parts do I divide 4? How do I find one of these parts ? Divide 4 by 3. 17. Explain what you mean by 1 of a number; by 1 of a number; by of a number. 18. Find of 4. 25. % of 12 31. of 20 30. of 7 36. of 12 37. Multiply d by 8. Which number is the multiplier? Which number is the multiplicand? Observe that of 8 gives the same result. We find a fractional part of a number by partition. If the sign of multiplication is written after a fractional multiplier, it may be read “of.” Thus, x 12 may be read “ 1 of 12.” Read the following problems : 38. x 9 39. x 6 40. 3x4 41. x 6 Written Work 1. A merchant owing $1200 gave his check for of the amount. For how much did he write his check ? 2. Three men own 2500 acres of land. The first owns of it, the second of the remainder, and the third the remainder. How many acres does each own? 3. If a laborer works of the days in a common year, how many days does he work? 4. A student's expenses at college are $480 per year. If board and tuition cost s of that amount, how much is spent for room rent, books, etc.? 5. A contractor agrees to erect a building for $24,570. Labor costs of the amount, material s of the remainder. Find his profit. 6. g of the entire enrollment of 14,720 in school are girls. Find the number of girls and the number of boys. 7. Ta of $960 is paid in a year for rent. Find the monthly rent bill. 8. An automobile cost $3456 and the expenses and repairs for one year were le of the cost. Find the expenses. 9. A western farmer bought a farm of 160 acres, at $25 He erected a house costing % as much as the land, and a barn costing 1 as much as the house. Find the total cost of the property. Finding a number when a fractional part of it is given. 1. j of a flock of sheep are 40. Find the number in the flock. SOLUTION. — Since two thirds of the flock equal 40 sheep, one third of the flock equals 1 of 40 sheep, or 20 sheep, and three thirds, or the flock, equal 3 x 20 sheep, or 60 sheep. an acre. Find the number when : 7. of a number =12 8. ii of a number = 36 9. 1% of a number = 60 10. of a number = 45 11. 16 of a number = 54 |