55. James worked 63 hours after school in one week, Henry worked 4 hours, and Frank worked 23 hours. Find the number of hours the three boys were employed during the week. 56. Mary's hair ribbon contained of a yard; Ruth's hair ribbon contained of a yard; and Martha's sash contained 21 yards. How many yards of ribbon were there in all three pieces? 57. John is 7 6 months old. John? years old, and his father is 30 years and How much older is John's father than 58. If a rug is 63 feet long and 4 feet wide, what is the difference between its length and its width ? 59. Mary bought three remnants of ribbon. The first was 3 yards; the second, of a yard; and the third, 21 yards. How much ribbon did Mary buy? 60. Three boys rowed 81 miles from their camp to the village. Martin rowed 35 miles and Frank rowed 19 miles. How far did Howard row? 3ğ, First add each number in a to the numbers on the same line in b, c, d, e, f, g. Thus, in 61, add 23, first to 3§, then to 43, then to 83, etc. In 62 add 43, first to 63, then to 52, etc. Then subtract each number in column a from the numbers on the same line in b, c, d, e, f, g. tract 24, first from 3ğ, then from 43, then from 83, etc. 62 subtract 43, first from 63, then from 52, etc. Thus, in 61, sub In How to find the product of a fraction by a whole number. 3. Into how many halves is the square divided? Two 4. Into how many halves is the circle divided? Two times = the circle 5. What is of 3 feet? circle. 6. How much is 3 times 7. of $5=? 5×$1 = ? Notice that of $5 = 5 × $1. circles. 15. of 12 circles = 16. 4 × is the same as 1 + 1 + 1 + 1. 17. 6×2, or 3. Therefore, to multiply by 6, we say = 6 times = §, or 3. 38. When you multiply by 8, which number is the multiplier? Which number is the multiplicand? You have learned that you may divide a unit into equal parts and then take any number of these parts. Thus, of & $8 means that $8 (8 units) is divided into 4 equal parts of $2 each and that 3 of these parts, or $6, are taken. Notice that of 8 = 8 × 2. 39. If the sign of multiplication is written after a fractional multiplier, it may be read "of." Thus, be read "of 12." Read: x 9; 2×6; Find the following: × 12 may 7×4; × 10. Written Work 1. Find the cost of yard of silk at $2 a yard. 2. The freight on a ton of merchandise was 56 cents. What was the freight charge for of a ton? 3. Find the cost of of a dozen buttons at $1.28 a dozen. 4. A workman earned $4 a day. How much did he earn in of a day? 5. At 42 miles an hour, how far did an automobile travel in of an hour? 6. A merchant owing $1236 gave his check for of the amount. For how much did he write his check? 7. Mr. Rice owned a tract of land containing 2500 acres. He sold of it to Mr. Brown and of the remainder to Mr. Thomas. How much did he sell to each? 8. If a laborer worked of the days in a common year, how many days did he work? 9. A student's expenses at college were $720 a year. If board and tuition cost of that amount, how much did the other expenses amount to? 10. A contractor agreed to erect a building for $24,570. Labor cost of the amount, material of the remainder. Find his profit. 11. of the entire enrollment of 14,720 in school were girls. Find the number of girls and the number of boys. 12. A man whose income was $960 spent of this amount for a year's rent. Find the monthly rent bill. 13. An automobile cost $3456 and the expenses and repairs for one year were of the cost. Find the expenses. 6 14. A farmer bought a farm of 160 acres at $25 an acre. He erected a house costing as much as the land, and a barn costing as much as the house. Find the total cost of the property. |