Question
Three mixtures, containing mixture of sugar to water in
the ratio of 6:3, 8:4 and 10:5 are mixed in equal proportion and a new mixture is formed. If the volume of mixture thus formed is 324 litres, then find the quantity of sugar in the resulting mixture.Solution
Let the volume of each mixture taken out be 36 litres
Ratio of sugar to water in the resulting mixture =
(6/9 Ă— 36 + 8/12 Ă— 36 + 10/15 Ă— 36):(3/9 Ă— 36 + 4/12 Ă— 36 + 5/15 Ă— 36) = (24 + 24 + 24):(12 + 12 + 12) = 72:36 = 2:1
Desired volume of sugar = 2/3 Ă— 324 = 216 litres
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