Question
Jar A contains βXβ ml mixture of milk and water in
the ratio of 4 :3. Jar B contains βXβ ml mixture of milk and water in the ratio of 5:1, When both jars are mixed in Jar C the what will be the ratio of milk and water in jar C?Solution
In Jar A, Ratio of milk and water = 4:3 Quantity of milk = X Γ 4/7 = 4X/7 ml Quantity of water = X Γ 3/7 = 3X/7 ml In Jar B, Ratio of milk and water = 5:1 Quantity of milk = X Γ 5/6 = 5X/6 ml Quantity of water = X Γ 1/6 = X/6 ml Now, in Jar C, Total quantity of milk = 4X/7 + 5X/6 = (24X + 35X)/42 = 59X/42 ml Total quantity of water = 3X/7 + X/6 = (18X + 7X)/42 = 25X/42 ml Therefore, required ratio of milk and water in Jar C = 59X/42 : 25X/42= 59:25
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