Two identical containers P and Q contain mixture of milk and water in the…
2025
Two identical containers P and Q contain mixture of milk and water in the ratio 1 : 1 and 3 : 1, respectively. In what ratio should mixtures be taken out from P and Q so that milk to water ratio becomes 5 : 4 ?
- A.
5 : 2
- B.
7 : 2
- C.
2 : 7
- D.
2 : 5
Attempted by 2 students.
Show answer & explanation
Correct answer: B
First, determine the fraction of milk in each container.
Container P: Ratio 1:1 means milk fraction is 1/2.
Container Q: Ratio 3:1 means milk fraction is 3/4.
Target Ratio: 5:4 means milk fraction is 5/9.
Let the amount taken from P be x and from Q be y. Set up the weighted average equation for milk content:
(1/2)x + (3/4)y = (5/9)(x + y)
Multiply by 36 to clear denominators: 18x + 27y = 20(x + y)
18x + 27y = 20x + 20y
7y = 2x
Therefore, x/y = 7/2. The required ratio of mixtures from P to Q is 7:2.