Multiple choice

For making a chocolate shake, A mixed chocolate powder, sugar and milk in the ratio 1 : 2 : 5 and B mixed chocolate powder, sugar and milk in the ratio 1 : 3 : 6. If both the shakes are mixed in the ratio 12 : 15, what is the ratio of chocolate powder, sugar and milk in the resultant mixture?

  1. 2 : 5 : 11

  2. 2 : 5 : 12

  3. 1 : 3 : 6

  4. 1 : 3 : 5

  5. 1 : 2 : 3
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A Correct answer
AI explanation

Assume 27 total parts of the mixtures are combined, taking 12 parts of mixture A and 15 parts of mixture B. Mixture A contributes chocolate powder, sugar, and milk in the amounts 12/8, 24/8, and 60/8, which simplifies to 1.5, 3, and 7.5; mixture B contributes 15/10, 45/10, and 90/10, simplifying to 1.5, 4.5, and 9. Adding these together gives total amounts of 3 parts chocolate powder, 7.5 parts sugar, and 16.5 parts milk, which simplifies by dividing by 1.5 to a final ratio of 2 : 5 : 11.

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