A dairy keeps two tanks. Tank X holds 45 litres of a milk-and-water mixture in the ratio 8 : 1, and tank Y holds 40 litres of a milk-and-water mixture in the ratio 3 : 5. The whole of tank X and exactly half of tank Y are poured into one can. In the can, milk and water are in the ratio:

Question

Accepted Answer

19 : 7. Tank X gives milk 45 × 8/9 = 40 L and water 5 L. Half of tank Y is 20 L, giving milk 20 × 3/8 = 7.5 L and water 12.5 L. The can holds 47.5 L of milk and 17.5 L of water, and 47.5 : 17.5 = 19 : 7. (Pouring in the whole of Y gives 55 : 30 = 11 : 6, halving X instead of Y gives 35 : 27.5 = 14 : 11, and reading tank Y as 5 : 3 instead of 3 : 5 gives 21 : 5.)

A dairy keeps two tanks. Tank X holds 45 litres of a milk-and-water mixture in the ratio 8 : 1, and tank Y holds 40 litres of a milk-and-water mixture in the ratio 3 : 5. The whole of tank X and exactly half of tank Y are poured into one can. In the can, milk and water are in the ratio:

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