Question

One man adds 6 litre of water to 11 litres of milk and another 9 litres of water to 8 litres of milk. what is yhe ratio of the strengths milk in two mixtures

Answer 1

The ratio of water to milk in first mixture is 6:11.
The ratio of water to milk in second mixture is 9:8.

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Answer 2

The ratio of the strengths of milk in two mixtures is 11:8.

Step-by-step explanation:

For the first type of mixture:

A man adds 6 litres of water to 11 litres of milk

So, the ratio of water to milk in the first mixture becomes = 6:11

∴ The part of the milk in the first type of mixture = $\frac{11}{6+11} = \frac{11}{17}$

For the second type of mixture:

The man adds 9 litres of water to 8 litres of milk

So, the ratio of water to milk in the second mixture becomes = 9:8

∴ The part of the milk in the second type of mixture = $\frac{8}{9+8} = \frac{8}{17}$  

Thus,  

The ratio of the strengths of the milk in two the mixtures is given by,

= [part of the milk in the first type of mixture] / [part of the milk in the second type of mixture]

= $\frac{11}{17} : \frac{8}{17}$

= 11:8

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