Question
In a mixture of 198 litres, the ratio of salt to sugar
is 2:1. If ‘x’ litres of sugar is added to the mixture, such that the ratio of salt to sugar in the resultant mixture becomes 3:2, then find the value of ‘x’.Solution
ATQ, Quantity of salt in the mixture = 198 × 2/3 = 132 litres Quantity of sugar in the mixture = 198 × 1/3 = 66 litres According to the question, 132:(66 + x) = 3:2 2 × 132 = 3 × (66 + x) 264 = 198 + 3x 3x = 66 x = 22 litres
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