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A:B=2:3, B:C=3:4, A:D=4:5. Find C:D.

Correct answer: D. 8:5

  • A. 2:5
  • B. 4:5
  • C. 6:5
  • D. 8:5

Explanation

Let A = 2k and B = 3k from A:B = 2:3. Since B:C = 3:4, C = 4k; and A:D = 4:5 gives D = (5/4)(2k) = 5k/2. Therefore C:D = 4k:5k/2 = 8:5. The likely wrong choice is 6:5, caused by combining ratios without first expressing all four quantities using one common scale.

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