The ratio of milk to water in a 60-litre mixture is 7 : 3. How much water must be added to make the ratio 7 : 4?

Question

There are 187 fruits in total. The ratio of apples to mangoes is \(2 : 3\), and the rest are oranges. After selling 67 apples, 26 mangoes, and half of the oranges, the ratio of the remaining apples to oranges becomes \(1 : 2\). Determine how many unsold fruits remain.

Answer 1

Step 1: Milk \(= \dfrac{7}{10}\times60 = 42\) L, Water \(= 18\) L.
Step 2: Milk stays 42 L. For ratio \(7:4\), water \(= \dfrac{4}{7}\times42 = 24\) L.
Step 3: Water to add \(= 24 - 18 = 6\) L.

Quick Tip: When only water is added, keep the milk quantity fixed and re-solve for water.

The ratio of milk to water in a 60-litre mixture is 7 : 3. How much water must be added to make the ratio 7 : 4?

The Correct Option is A

Solution and Explanation

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