Multiple choice

It is given that 100 kg of one mixture is mixed with 180 kg of another mixture. The first mixture is made from two components 'A' and 'B' in the ratio 3 : 7 and the second mixture is made from the same two components 'A' and 'B' in the ratio 4 : 5. What is the ratio of 'B' to 'A' in the mixture?

  1. 17 : 11

  2. 25 : 31

  3. 31 : 18

  4. 31 : 11

  5. 24 : 31
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A Correct answer
Explanation

In 100 kg (3:7), A = 30, B = 70. In 180 kg (4:5), A = 80, B = 100. Total A = 110, total B = 170. The ratio of B to A is 170:110 = 17:11.

AI explanation

In the 100 kg of the first mixture, component B weighs 7/10 of the mixture, which is 70 kg, and component A weighs 30 kg. In the 180 kg of the second mixture, component B weighs 5/9 of the mixture, which is 100 kg, and component A weighs 80 kg. Combining them gives a total weight of 170 kg for B and 110 kg for A. The ratio of B to A in the final mixture is 17 : 11.

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