Discussion
In a mixture of 150 L, the ratio of milk to water is 2:1. What amount of water should be further added to the mixture so as to make the ratio of the milk to water 1:2 respectively?
Answer: C
The water to be added is 150 L.
The 150 L mixture in the ratio 2:1 has 100 L of milk and 50 L of water. The milk stays at 100 L, and for a milk to water ratio of 1:2 the water must be twice the milk:
\[ \begin{aligned} \text{water needed} &= 2 \times 100 = 200\ \text{L} \\ \text{to add} &= 200 - 50 = 150\ \text{L} \end{aligned} \]
200 L is the total water required, not the amount to add, and 50 L or 100 L would leave the milk still in excess of half the water.
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