# 85 kg of a mixture contains milk and water in the ratio of 27 : 7. How much more water is to be added to get a new mixture containing milk and water in the ratio 3 : 1.

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85kg = 27x + 7x

85 = 34x

x = 85/34

x = 2.5

milk = 27x = 27*2.5 =67.5kg

water = 7x = 7*2.5 = 17.5kg

now x = 2.5 kg

2x = 5 kg

add 2x to water

7x + 2x = 9x

now the ratio of milk and water is 27:9 = 3:1

so 5 kg of water is required

total ratio=27+7=34

milk in 85kg of the mixture=27*85/34

=>27*2.5

=>67.5

.'. weight of water in 85kg of the mixture=85-67.5

=>17.5

.'. new ratio=3:1

x=weight of water to be added to get the mixture ratio as 3:1

cross multiplying

67.5*1=(17.5+x)*3

67.5=52.5+3x

67.5-52.5=3x

15=3x

5=x

.'. 5kg of water must be added to make milk:water ratio=3:1

pls mark brainliest