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A and B are two mixtures which are prepared by mixing honey and water in the ratio of 3 : 4 and 7 : 8 respectively. If equal quantities of mixtures are mixed to form a third mixture C, then what is the ratio of honey and water in mixture C?

A and B are two mixtures which are prepared by mixing honey and water in the ratio of 3 : 4 and 7 : 8 respectively. If equal quantities of mixtures are mixed to form a third mixture C, then what is the ratio of honey and water in mixture C? Correct Answer 47 : 58

Ratio of honey and water in mixture A = 3 : 4 = 7 unit

Ratio of honey and water in mixture B = 7 : 8 = 15 unit

Let’s make both the quantities equal.

Ratio of honey and water in mixture A = 3 : 4 = 7 × 15

Ratio of honey and water in mixture B = 7 : 8 = 15 × 7

New ratio of honey and water in mixture A = 45 : 60 = 105 unit

New ratio of honey and water in mixture B = 49 : 56 = 105 unit

So, ratio of honey and water in mixture C = (45 + 49) : (60 + 56) = 94 : 116 = 47 : 58

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