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A mocktail ‘x’ has alcohol and water in the ratio 3 : 2. Another mocktail ‘y’ has alcohol and water in the ratio 7 : 4. If x and y are mixed in the ratio 18 : 11, then what will be the ratio of water to alcohol in the final ratio?

A mocktail ‘x’ has alcohol and water in the ratio 3 : 2. Another mocktail ‘y’ has alcohol and water in the ratio 7 : 4. If x and y are mixed in the ratio 18 : 11, then what will be the ratio of water to alcohol in the final ratio? Correct Answer 56 : 89

Ratio of alcohol to water in ‘x’ = 3 : 2, Base = 5

Ratio of alcohol to water in ‘y’ = 7 : 4, Base = 11

Making their base equal,

X * 11 = 55, Y * 5 = 55

X = 33 : 22, Y = 35 : 20

Now, x & y are mixed in the ratio 18 : 11, ratio of alcohol to water will be,

(33 × 18 + 35 × 11) : (22 × 18 + 20 × 11) = 979 : 616

= 89 : 56

∴ Ratio of water to alcohol = 56 : 89

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