Multiple choice

For shade A, three colors X, Y and Z are mixed in the ratio 3 : 5 : 7, respectively, and for shade B, the ratio is 1 : 8 : 3, respectively. If 10 parts of shade A is mixed with 8 parts of shade B, what is the ratio of colors X, Y and Z in the resultant mixture?

  1. 19 : 57 : 47

  2. 31 : 27 : 30

  3. 18 : 25 : 19

  4. 4 : 13 : 10

  5. 11 : 17 : 10
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D Correct answer
Explanation

Calculate the amount of each color in 10 parts of shade A and 8 parts of shade B. Summing the respective amounts of X, Y, and Z gives 8/3, 26/3, and 20/3, which simplifies to the ratio 4 : 13 : 10.

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