The ratio of alcohol and water in 53 litres of mixture is 5
:3. Then 5 litres of the mixture is removed and replaced
with water. Now, the ratio of the alcohol and water in
the resultant mixture is
O 13:18
O 21:30
O 5:3
O 30:23
Answers
Given : The ratio of alcohol and water in 53 litres of mixture is 5:3. Then 5 litres of the mixture is removed and replaced with water.
To Find : the ratio of the alcohol and water in the resultant mixture is
O 13:18
O 21:30
O 5:3
O 30:23
Solution:
The ratio of alcohol and water in 53 litres of mixture is 5:3.
Alcohol = (5/8) 53 = 265/8 litres
Water = (3/8) 53 = 159/8 litres
5 litres of the mixture is removed and replaced with water
=> Water removed = (3/8)5 = 15/8 litre
water added = 5 litre
Now water = 159/8 - 15/8 + 5
= 144/8 + 40/8
= 184/8
= 23 litre
Alcohol = 53 - 23 = 30 litre
ratio of the alcohol and water in the resultant mixture = 30 : 23
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