Milk and water are mixed in a vessel A as 4:1 and in vessel B as 3:2. For vessel C, if one takes equal quantities from A and B, find the ratio of milk to water in C.Options :7:34:32:31:3
Question
Milk and water are mixed in a vessel A as 4:1 and in vessel B as 3:2. For vessel C, if one takes equal quantities from A and B, find the ratio of milk to water in C.Options :7:34:32:31:3
Solution
Sure, let's solve this step by step.
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In vessel A, the ratio of milk to water is 4:1. This means that for every 4 parts of milk, there is 1 part of water. So, if we take 1 litre from vessel A, it will contain 0.8 litres of milk and 0.2 litres of water (since 4/5 of the total quantity is milk and 1/5 is water).
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In vessel B, the ratio of milk to water is 3:2. This means that for every 3 parts of milk, there is 2 parts of water. So, if we take 1 litre from vessel B, it will contain 0.6 litres of milk and 0.4 litres of water (since 3/5 of the total quantity is milk and 2/5 is water).
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Now, if we take equal quantities from A and B to form vessel C, we will have 0.8 + 0.6 = 1.4 litres of milk and 0.2 + 0.4 = 0.6 litres of water.
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Therefore, the ratio of milk to water in vessel C is 1.4:0.6, which simplifies to 7:3.
So, the correct option is 7:3.
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