80 litres of a mixy contains milk and water in the ratio of 27:5.how much more water is to be added to get a mixture containing milk and water bin the ratio of 3:1
Answers
10 litres of water must be added to get a mixture of milk and water in the ratio of 3:1.
Step-by-step explanation:
The total quantity of the mixture = 80 litres
The ratio of milk to water in the 80 litres of mixture = 27:5
So,
The quantity of milk = [27/(27+5)] * 80 = [27/32]* 80 = 67.5 litres
And
The quantity of water = 80 – 67.5 = 12.5 litres
The ratio of milk and water in the new mixture = 3:1
Let the required quantity of water to be added to get the new mixture to be “x” litres
According to the question, we can write the eq. as,
[67.5] / [12.5 + x] = 3/1
⇒ 67.5 = 3 * [12.5 + x]
⇒ 67.5 = 37.5 + 3x
⇒ 3x = 30
⇒ x = 10 litres
Thus, 10 litres more water is to be added to get the new mixture.
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