Multiple choice

There are three mixtures – P, Q and R, with each having a mixture of liquids A and B only. The ratios of liquids A and B in mixtures P, Q and R are 5 : 3, 1 : 1 and 5 : 7, respectively. If half of P is mixed with Q, then the ratio of A and B in the mixture becomes 11 : 9, whereas, if half of R is mixed with Q, then the ratio of A and B in the mixture becomes 11 : 13. Find the ratio of the quantity of A in P to the quantity of B in R.

  1. 4 : 7

  2. 5 : 7

  3. 9 : 14

  4. 11 : 14
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let P, Q, R be the quantities. Using the mixture ratios and the given mixing conditions, we can set up a system of linear equations to find the relative quantities of A and B in each mixture. Solving for the ratio of A in P to B in R yields 5:7.

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