In a 56 liters mixture of milk and water, the ratio of milk to water is 5 : 2. In order to make the ratio of milk to water 7 : 2, some quality of milk is to be added to the mixture. Find the quantity of the milk present in the new mixture.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e 56 liters.
| Understanding/Application |
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Ratio of milk and water = 5 : 2 Let milk be 5x and Water be 2x. Total mixture = 5x + 2x = 7x 7x = 56 liters x = 8 liters Quantity of water = 2x = 16 liters In new mixture ratio of mixture is 7 : 2 Here in new ratio quantity of water is the same because we are just adding the milk so the quantity of water remains unchange. Let the ratio of milk and water in new mixture is 7y : 2y Total mixture = 7y + 2y = 9y Given 2y = 16 liters y = 8 liters Total mixture 9y = 72 liters As quantity of water = 16 liter so quantity of milk = 72 - 16 = 56 liters |