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A Cistern of Milk Caitains a Mixture of Milk and Water in the Ratio of 11 :4. If the Cistern Contains 60 Litres of Milk, - ICSE Class 10 - Mathematics

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Question

A cistern of milk caitains a mixture of milk and water in the ratio of 11 :4. If the cistern contains 60 litres of milk, how much more water must be added to make the 
ratio of milk to water as 11:6 ?

Solution

Quantity of milk = ` 60 xx 11/15 = 44` litres 

Quantity of water in it= 60-44 = 16 litres 

New ratio= 11:6 

Let quantity of water to be added further be x litres. 

Then, milk : water = `44/(16 + "x")`

Now , 

`44/(16 + "x") = 11/6`

⇒ 264 = 176 + 11x 

⇒ 11x = 88 

⇒ x = 8 

Therefore, 8 litres of water need to be added further.

  Is there an error in this question or solution?

APPEARS IN

 Frank Solution for Frank Class 10 Mathematics Part 2 (2016 to Current)
Chapter 9: Ratio and Proportion
Exercise 9.1 | Q: 29

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Solution A Cistern of Milk Caitains a Mixture of Milk and Water in the Ratio of 11 :4. If the Cistern Contains 60 Litres of Milk, Concept: Ratio and Proportion Example.
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