The Normal Union Arithmetic Volume 2; Graded Course (Paperback)

This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1877 Excerpt: ... 14 cents, what will 60 oranges cost at the same rate?-Ans. 56 cents. 12. What cost 125 sheep, if 25 sheep cost 137 dollars? Ans. $685. 13. If 56 cows cost $1000, what will 42 cows cost at the same rate? Ans. $750. 14. If 105 pens cost 77 cents, what will 225 pens cost at the same rate?-4ns. $1.65. Note.--Classes needing a shorter course may omit the other three easel nnless otherwise directed. CASE II. 186. To find the relation of a fraction to a number. 1. The fraction f is what part of 6? Solution.--One is of 6, and if 1 is J of 6, J is J of, which is f 6, and J is 3 times j'j, which is J of 6. MENTAL EXERCISES. 1. What part of 3 is? Of 4 is f? Of 7 is? Of 9 is 2. What part of 5 is of? Of 7 is f off? Of 5 is $ of j? 3. If J of a ton of coal cost $2J, what will 6 tons cost at the same rate? 4. A hat was bought for $ 2 and sold at a gain of $ f; what part of the cost equals the gain? 5. Sarah bought 5 yards of silk and used 3, yards; what part of the silk then remained? 6. A bought 6 oranges, and B bought 4 oranges; what did B-ay for his oranges, if A paid 26 cents for his? WRITTEN EXERCISES. What is the relation o 2. f to 9? Ans. fa 6. f to 64? Ans. fa 10. A having $25, gave $5 to B and J of the remainder to C1 what part of $25 then remained? Ans. f. Case in. 187. To find ttie relation of a number to a fraction. 1. 6 is how many times f? Solution.--J is J of f, and since J is of f, f or 1 is 4 times J, or $ of f, and 6 is 6 times f, or, which equals 8. MENTAL EXERCISES. 1. 8 is how many times f? 14 is how many times J? 24 is how 'many times y? 2. 96 is how many times f? 115 is how many'times ff? 144 is how many times fj? 3. If a yard of cloth cost $f, how many yards will $9 buy? 4. A can walk a certain distance in 2J hours; how many times t...