Question
Glass S initially holds 200 ml of coke, while Glass T
contains 110 ml of soda. First, 40 ml of coke is transferred from Glass S to Glass T. Then, 30 ml of the resulting mixture from Glass T is taken and poured back into Glass S. What is the final ratio of coke to soda in Glass S?Solution
Glass S has coke = 200 ml
On taking 40 ml, coke remaining = 200 - 40 = 160 ml
On adding 40 ml coke in glass T, amount of mixture in glass T = 110 + 40 = 150 ml
Ratio of coke and soda in glass T = 40: 110 = 4: 11
Quantity of coke in 30 ml of mixture from glass T = 30 * (4/15) = 8 ml
Quantity of soda in 30 ml of mixture from glass T = 30 * (11/15) = 22 ml
Quantity of coke in glass S after addition of 30 ml from glass T = 160 + 8 = 168 ml
Quantity of soda in glass S after addition of 30 ml from glass T = 22 ml
Required Ratio = 168: 22 = 84: 11
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