Free Practice Question
PS · Problem Solving
705-805
Fractions/Ratios/Decimals
Vessel A contains a solution of milk and water in the ratio 1:3. If 8 litres of the mixture is replaced with milk, then the new ratio becomes 3:5. Had p litres of mixture been replaced with milk, the amount of water and milk in the vessel would have become equal. Find the value of p.
Answer Choices
Correct answer marked belowA
9
B
12
16
Correct
D
20
E
24
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Explanation
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Official Explanation
Official
Quicker way to solve this:
Original ratio: 1:3 or 2:6.
Scenario 1: 8 liters of mixed solution replaced with 8 liters of milk. New ratio = 3:5.
From 2:6 to 3:5.
Since both ratios have equal total quantity, we can say that 1/8 of water is replaced with an equivalent quantity of milk (i.e., 1/8), resulting in the ratio 3:5.…
Original ratio: 1:3 or 2:6.
Scenario 1: 8 liters of mixed solution replaced with 8 liters of milk. New ratio = 3:5.
From 2:6 to 3:5.
Since both ratios have equal total quantity, we can say that 1/8 of water is replaced with an equivalent quantity of milk (i.e., 1/8), resulting in the ratio 3:5.…
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What it tests
Your ability to convert between fractions, ratios, and decimals and to reason proportionally.
Common trap
Cross-multiplying incorrectly or mixing up the ratio parts — a part:part ratio is not a fraction of the whole.
Details
Difficulty
705-805
Type
PS
Category