12. If I pay $2.25 for lace at 18¢ a yard, how many yards do I buy? 12 yd. 13. How much will 6 yd. of linen cost at $0.62 a yard? $3.75. 14. If I pay $66.25 for books at $3.75 a dozen, how many dozen books do I buy? $30. 172 doz. 15. How much will 63 doz. handkerchiefs cost at 371⁄2¢ apiece? 16. How many times is $4.87 contained in $39? 8. 17. How much will 36 neckties cost at 331 apiece ? $12. 18. How much will 3 yd. of lace cost at $1.75 a yard? $6.12. 19. At $1.50 a yard, how much cloth can be bought for $7.121? 4 yd. 20. What is the cost of 100 readers at $3.90 a dozen? $32.50. 21. What is the cost of 32 doz. knives at $5.40 a dozen ? $20.25. FRACTIONAL COMPOUND DENOMINATE NUMBERS 123. 1. Add 16 yd.; 91 yd.; 5 yd.; 218 yd. 16 33 yd. 2. I paid for books $91; for a fountain pen, $42; and for stationery, $14. What amount did I expend? $15. 3. Having $501, I paid a bill of $273. How much had I left? 4. From $32.314 take $15.12. 5. From $5.81 take $1.18. $223 $17.18. $4.621. $34.59%. $66.25. 12. 101 yd. of cloth, at $3.37 a yard. 13. 17 doz. books, at $3.75 per dozen. 14. At 131 per yard, how many yards of gingham can be purchased for $2.70? تھے 20 yd. 15. At 371 a yard, how many yards of lawn can you buy for $5.814? 15 yd. 16. If 5 yd. of cloth cost $114, what is the cost of one yard? $24. 17. A line 31 in. long is divided into 7 parts. How long is each part? 18. Reduce 5 mi. to inches. 19. Reduce 2 mi. 2 rd. 2 ft. to feet. 20. Reduce 20 yd. to rods. 21. Reduce 15875 ft. to miles. 47 in. 316800 in. 10595 ft. 3 rd. 31 yd. 3 mi. 2 rd. 2 ft. 22. Reduce 142634 in. to miles. 2 mi. 80 rd. 2 yd. 2 in. 23. How many steps, of 2 ft. 8 in. each, will a man take in walking 2 miles? 3960. 24. How many revolutions will a wheel, of 9 ft. 2 in. circumference, make in running 65 miles? 37440. 25. Reduce 1 A. 136 sq. rd. 25 sq. yd. to square yards. 8979 sq. yd. 26. Reduce 7506 sq. yd. to A. 1 A. 88 sq. rd. 4 sq. yd. 27. Reduce 5 chains 15 links to in. 4078 in. 28. How many acres are there in a field 401 rd. long and 32 rd. wide? 29. Reduce 4 yr. to hours. 30. Reduce 914092 hr. to centuries. 8 A. 16 sq. rd. 35064 hr. 1 cen. 4 yr. 101 da. 4 hr、 31. In what time will a body move from the earth to the moon, at the rate of 31 miles per day, the distance being 238545 miles? 21 yr. 24 da. 124. A fraction is reduced to a lower denomination by multiplication (§ 63, Rule I). 1. Reduce of a peck to the fraction of a pint. SOLUTION. To reduce of a peck to the OPERATION fraction of a pint, multiply by 8 and by 2, since 8 there are 8 qt. in 1 pk. and 2 pt. in 1 qt. The result is of a pint. 125. In reducing a fraction to a lower denomination, when the result is a mixed number, proceed only with the reduction of the fractional part. This is called finding the value of a fraction in integers. 1. Find the value of of a day in integers. SOLUTION. To reduce of a day to hours, multiply by 24; the result is 9g hr. To reduce of an hour to minutes, multiply by 60; the result is 36 min. of a day, then, is 9 hr. 36 min. RAY'S MOD. PRACT. AR. — - 11 2. Find the value of mi. in integers. 3. Find the value of $ in integers. 256 rd. 60%. 9 oz. 12 pwt. 4. Find the value of lb. Troy in integers. 126. A fraction is reduced to a higher denomination by division (§ 63, Rule II). 1. Reduce of a pint to the fraction of a peck. SOLUTION. of a peck, divide by 2 and by 8, since 2 pt. make 1 qt. and 8 qt. make 1 pk. The result is of a peck. To reduce of a pint to the fraction OPERATION 1854.in. to rods. 3.3 oz. (Av.) to lbs. 1280 5. min. to days. 1620· 127. To find what part one compound denominate number is of another, reduce them to the same denomination and proceed as in § 120. 1. 2 ft. 3 in. is what part of a yard? SOLUTION.-2 ft. 3 in. equals 27 in. 1 yd. equals 36 in. 27 in. are 37 of 36 in.equals .2 ft. 3 in. then is of a yard. 2. 2 ft. 6 in. is what part of 6 ft. 8 in. ? 3. 2 pk. 4 qt. is what part of a bushel? OPERATION 2 ft. 3 in. 27 in. = 1 yd. = 36 in. 弱=朵 4. What part is 2 yd. 9 in. of 8 yd. 2 ft. 3 in. ? 5. What part of a day is 13 hr. 30 min. ? 6. 15 mi. 123 rd. is what part of 35 mi. 287 rd.? 128. To add and subtract fractional compound numbers, find the value of the fractions in integers, and then proceed as in addition and subtraction of compound denominate numbers. |