The ratio of water and milk is 66kg of adulterated milk is 5:1. The ratio is made to 5:3 by adding milk. What is the quantity of added milk?223524None of the above
Question
The ratio of water and milk is 66kg of adulterated milk is 5:1. The ratio is made to 5:3 by adding milk. What is the quantity of added milk?223524None of the above
Solution
The initial ratio of water to milk in the adulterated milk is 5:1, which means that out of 66kg, 55kg is water and 11kg is milk.
The final ratio after adding milk is 5:3. This means that the quantity of water remains the same (55kg), but the quantity of milk increases.
Let's denote the quantity of added milk as x. The new total weight of the mixture is 66kg + x.
According to the new ratio, the weight of the milk (original milk + added milk) should be 3/8 of the total weight. So we can set up the following equation:
11kg (original milk) + x (added milk) = 3/8 * (66kg + x)
Solving this equation will give us the quantity of added milk (x).
Let's solve it:
11kg + x = 3/8 * (66kg + x) 11kg + x = 24.75kg + 3/8x 8x - 3/8x = 24.75kg - 11kg 7.625x = 13.75kg x = 13.75kg / 7.625 ≈ 1.8kg
So, approximately 1.8kg of milk was added.
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