Multiple choice

Instead of dividing 391 cookies among 3 children A , B , C in the ratio ( \frac{1}{5} : \frac{1}{4} : \frac{1}{8} ), it was divided into the ratio 5 : 4 : 8. Who gains the most and how many?

  1. A, 21 cookies

  2. B, 78 cookies

  3. C, 99 cookies

  4. C, 78 cookies
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

First ratio 1/5:1/4:1/8 = 8:10:5 (multiplying by 40). Total parts = 23. A gets 8/23 × 391 = 136, B gets 10/23 × 391 = 170, C gets 5/23 × 391 = 85. Second ratio 5:4:8 gives A = 5/17 × 391 = 115, B = 4/17 × 391 = 92, C = 8/17 × 391 = 184. Gains: A loses 21, B loses 78, C gains 99. C gains most with 99 cookies.

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