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A and B are two mixture which are prepared by mixing alcohol, beer and water in the ratio of 2 ∶ 3 ∶ 4 and 3 ∶ 4 ∶ 5 respectively. If equal quantities of mixture are mixed to form a third mixture C then what is the ratio of alcohol, beer and water in mixture C?

A and B are two mixture which are prepared by mixing alcohol, beer and water in the ratio of 2 ∶ 3 ∶ 4 and 3 ∶ 4 ∶ 5 respectively. If equal quantities of mixture are mixed to form a third mixture C then what is the ratio of alcohol, beer and water in mixture C? Correct Answer 17 ∶ 24 ∶ 31

Given:

Alcohol : Beer : Water in A = 2 : 3 : 4

Alcohol : Beer : Water in B = 3 : 4 : 5

Concept used:

We will be using the concept of ratio.

Calculation:

Ratio of alcohol, beer and water in mixtre A = 2 ∶ 3 ∶ 4 = 9 units

Ratio of alcohol, beer and water in mixtre B = 3 ∶ 4 ∶ 5 = 12 units

We have to euqal quantities

Ratio of alcohol, beer and water in mixtre A = 2 ∶ 3 ∶ 4 = 9 units × 4

Ratio of alcohol, beer and water in mixtre B = 3 ∶ 4 ∶ 5 = 12 units × 3

New ratio of alcohol, beer and water in mixtre A = 8 ∶ 12 ∶ 16 = 36 unit

New ratio of alcohol, beer and water in mixtre B = 9 ∶ 12 ∶ 15 = 36 unit

So, ratio of alcohol, beer and water in mixtre C = (8 + 9) ∶ (12 + 12) ∶ (16 + 15) = 17 ∶ 24 ∶ 31

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