If 4x/5 = 3y/8, find x : y.

A. 32:15
B. 16:15
C. 15:32
D. 5:8
Correct Answer: C. 15:32

Correct answer: 15:32. Cross-multiplying gives 4x × 8 = 3y × 5, so 32x = 15y and x : y = 15 : 32.

Background: If a/b = c/d, then a × d = b × c.

  • 32:15: 32:15 is the reverse of the correct ratio.
  • 16:15: 16:15 does not satisfy the equation.
  • 5:8: 5:8 does not satisfy the equation.

Did you know? For a ratio x : y, keep x on one side and y on the other.

Memory trick: 32x = 15y → x : y = 15 : 32.

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