Items related to A common school arithmetic
Synopsis
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. 1895 Excerpt: ...3 times £ of 5, or f. 4. What part of 3 is 2? 5. What part of 8 is 7? 6. What part of 12 is 9? 7. What part of f 60 is $ 20? 8. What part of 72 pounds is 60 pounds? 9. What part of 81 horses is 63 horses? 10. What part of 5 is f? Solution.--1 is $ of 5, and f of 1 is f of of 5 = Д. 11. What is the ratio of £ to 9? 12. What is the ratio of f to 15? 13. What is the ratio of f to 18? 14. What part of is f? Solution.--= T; f = т.; f is of as 8 is of 9, or, or = f. 15. What is the ratio of f to £? 16. What part of is f? 17. What is the ratio of f to? 238. Interpret and write each of the following as a fractional proportion: 1. 4: 12:: 15: 45. Ans. ±-() of 45 = 15; of 15" =45; etc. 2. 5:15::8:24. 6. 12: 18:: 32: 48. 3. 3: 5:: 18:30. 7. 27:3:: 9:1. 4. 7: 21:: 21: 63. 8. 63: 72:: 14: 10. 5. 9: 36:: 15: 60. 239. Write each of the above as an equation; as 4:12:: 15: 45 = 4 x 45 = 12 x 15. 240. Supply the omitted term, which is represented by x, in each of the following proportions: 1. 16: 12:: 72:. г-. Solution.--x is that part of 72 that 12 is of 16, viz., f. Whence 72 = 54; or, since the product of the extremes equals the 19 v 79 product of the means, 16ж = 12 x 72; x =-= 54. 16 2. 18: 27:: 60: x. 9. 54: a;:: 48: 24. 3. 32: 64:: ж: 90. 10. 17: 51:: x: 72. 4. 25: 35:: 165:«. 11. 69: 23:: 81: x. 5. 10: 16:: 30: x. 12. f: f:: 24: x. 6. 9: 25:: 72: x. 13. f: £:: 10: x. 7. 45:9::ж:25. 14. Щ: 37:: x: 36. 8. 48:ж::7:8. 15. x: Щ:: 16: 32. 241. Every solution of a problem requiring the comparison of numbers involves a proportion, whether the proportion is formally stated or not. Notice the implicit proportion in the solution of these simple examples: 1. If 1 yard of cloth cost 6 cents, ...
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