2020 · Q9
If a/b = 1/3, b/c = 2, c/d = 1/2, d/e = 3 and e/f = 1/4, then what is the value of abc/def?
Elementary MathematicsRatio and Proportion
- A1/4
- B3/4
- C3/8
- D27/4
Explanation
Chain the ratios with f as base: e = f/4, d = 3e = 3f/4, c = d/2 = 3f/8, b = 2c = 3f/4, a = b/3 = f/4. Then abc = (f/4)(3f/4)(3f/8) = 9f³/128 and def = (3f/4)(f/4)f = 24f³/128. The ratio abc/def = 9/24 = 3/8.