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The ratio of milk to water in 10 litres of a mixture is 3:2. The quantity of water in the mixture is:
6 litres
10 litres
5 litres
4 litres
4 litres
Sum of ratios is 3 + 2 = 5. Divide total 10 litres by 5 to get 1 part = 2 litres. Water is 2 parts, so 2 ├Ч 2 = 4 litres.
Total mixture = 10 litres, Ratio of milk to water = 3 : 2
Quantity=Sum┬аOf┬аRatiosRatio┬аValueтАЛ├ЧTotal┬аQuantity
Sum of ratios is 3 + 2 = 5. Divide total 10 litres by 5 to get 1 part = 2 litres. Water is 2 parts, so 2 ├Ч 2 = 4 litres.
Students often divide 10 by 3 instead of 5, or calculate the milk portion (6 litres) instead of the water portion (4 litres).
Define the Ratio
The mixture consists of milk and water in the ratio 3:2.
Milk:Water=3:2
Calculate the sum of ratio parts
The total number of parts in the mixture is 3+2=5.
Total┬аParts=5
Calculate value of one part
Given the total volume is 10 litres, divide the total volume by the total parts: 10/5=2.
1part=510тАЛ=2┬аlitres
Calculate water quantity
Water corresponds to 2 parts in the ratio. Multiply the value of one part by 2: 2├Ч2=4.
Water=2├Ч2=4┬аlitres
D is correct because the ratio sum is 5, making each part 2 litres, and water (2 parts) equals 4 litres.
This concept of partitioning quantities using ratios is fundamental for advanced topics like Allegation and Mixtures, and Chemistry mole calculations.
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