Multiple choice

. Jar A contains a mixture of milk and water in the ratio 4 : 3, and Jar B contains the same liquids mixed in the ratio 2 : 3. In what structural ratio must liquid quantities be drawn from Jar A and Jar B and mixed together to generate a new solution containing milk and water in the ratio 1 : 1?

  1. 7 : 5

  2. 5 : 7

  3. 4 : 5

  4. 5 : 4

  5. 3 : 2
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A Correct answer
Explanation

Jar A contains milk and water in fractions 4/7 and 3/7, while jar B contains 2/5 and 3/5. Equating the excess milk from A with the water deficit from B gives x/14 = y/10, so x:y = 7:5.

AI explanation

By applying the rule of alligation on the fraction of milk in each jar, we write the fractions as 4 divided by 7 for Jar A and 2 divided by 5 for Jar B. The desired fraction of milk in the new mixture is 1 divided by 2, so we find the differences to be (1 divided by 2 minus 2 divided by 5) and (4 divided by 7 minus 1 divided by 2), which equal 1 divided by 10 and 1 divided by 14 respectively. The ratio of the quantities drawn from Jar A to Jar B is the ratio of these differences, giving (1 divided by 10) divided by (1 divided by 14), which simplifies to 7 to 5.

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