Question
βxβ litres of mixture βAβ contains milk and
water in the ratio of 5:4, respectively and (x + 30) litres of mixture βBβ contains milk and water in the ratio of 1:2, respectively. If both mixtures are mixed in an empty container βPβ then ratio of milk and water in container βPβ becomes 5:7, respectively then find the value of βxβ.Solution
According to the question, [(5x/9) + (x + 30) * 1/3] / [(4x/9) + (x + 30) * 2/3] = 5/7 Or, (5x + 3x + 90) / (4x + 6x + 180) = 5/7 Or, (8x + 90) / (10x + 180) = 5/7 Or, 56x + 630 = 50x + 900 Or, 6x = 270 Or, x = 45
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