A 60 litre mixture of sugar and water contains
sugar and water in the ratio 2:3. How many litres
of the mixture should be replaced by sugar so
that the ratio of sugar and water becomes 1:1?
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Step-by-step explanation:
If the ratio of sugar to water is 2:3, then there are 24 liters of sugar and 36 liters of water initially.
The way the question is phrased, we want to replace a certain amount of the mixture with pure sugar so that the resulting mixture is 1:1.
If we remove 10 liters of mixture, we have removed 4 liters of sugar and 6 of water, leaving 50 liters of mixture — 20 liters of sugar, 30 of water. Add 10 liters of sugar, and we now have 30 liters of sugar, 30 of water, and the ratio of sugar is 1:1.
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