The ratio of milk and water in a mixture is 4 : 3.If we add 2 litres of water, the ratio of milk and water becomes 8 : 7. What is the quantity of the final mixture?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 30 litres
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Understanding |
Application |
Calculation |
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The ratio of milk and water in a mixture is 4 : 3 |
Let, Milk = 4x Water = 3x |
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If we add 2 litres of water. |
Milk = 4x Water = 3x + 2 |
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Ratio of milk and water becomes 8 : 7 |
4x/(3x + 2) = 8/7 ⇒ x = 4 |
4x/(3x + 2) = 8/7 ⇒ 28x = 24x + 16 ⇒ 4x = 16 ⇒ x = 4 |
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Quantity of the final mixture = 7x + 2 = 30 litres |
⇒ 7x + 2 ⇒ 7 × 4 + 2 ⇒ 30 |