40. In a mixture of 35 litre the ratio of milk and water is 4: 1. Find ratio
of milk and water if 7 litre of water are added to the mixture
Answers
Answer:
Ratio of milk to water will be 2:1. The calculation goes as follows:
In the mixture of 35 litres, ratio of milk to water is 4:1. Therefore,
Milk=4x35/(4+1)=4x35/5 = 28 litres and Water=35–28 = 7 litres.
After addition of 7 litres of water to the original mixture, the new volume of the mixture = 35+7 = 42 litres and the new volume of water= 7+7=14 litres. Volume of milk remains unchanged at 42–14=28 litres.
It follows that ratio of milk to water in the new mixture=28/14=2:1.
Step-by-step explanation:
milk : water = 4:1
total = 5 parts
water = 1part
water% = 1/5 ×100=20
water % in mixture of 35 liter is 20%
water % in 7 liter water is 100%
After adding 35 liter mixture to 7 liter water
Average water% in result mixture
35×20%+ 100%×7
_____________
35+7
= (700+700) %/42 = 1400%/42 = 100%/3
=33 1/3%
remaining % = 100 - 33 1/3% = 66 2/3% is % of milk
% in fraction form are
33 1/3% = 1/3
66 2/3 % =2/3
ratio of milk and water = 2/3:1/3 =2:1