Question
In a mixture of 252 litres, the ratio of tea to coffee
is 3:4. If ‘x’ litres of coffee is added to the mixture, such that the ratio of tea to coffee in the resultant mixture becomes 2:5, then find the value of ‘x’.Solution
ATQ, Quantity of tea in the mixture = 252 × 3/7 = 108 litres Quantity of coffee in the mixture = 252 × 4/7 = 144 litres According to the question, 108:(144 + x) = 2:5 5 × 108 = 2 × (144 + x) 540 = 288 + 2x 2x = 252 x = 126 litres
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