If X:Y = 2:3, Y:Z = 4:5. Find X:Y:Z.
Correct answer: B. 8:12:15
- A. 2:3:5
- B. 8:12:15
- C. 2:8:5
- D. 2:7:5
Explanation
Make the common term Y equal in both ratios: X:Y = 2:3 becomes 8:12, and Y:Z = 4:5 becomes 12:15. Therefore, X:Y:Z = 8:12:15. The likely mistake is option a, 2:3:5, from combining the ratios without first equalizing the two values of Y.
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Ratios compare quantities in the same units, while proportions state that two ratios are equal. Problems cover simplification, division in a given ratio, direct and inverse variation, scale, and missing terms, with attention to the difference between a ratio and a fraction representing part of a whole.
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