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Math · Problem-Solving and Data AnalysisEasy

The number pp is 25%25\% of the number qq. Which equation represents the relationship between pp and qq?

A

p=0.25qp = 0.25q

B

q=0.25pq = 0.25p

C

p=25qp = 25q

D

p=q+0.25p = q + 0.25

Show answer and explanation

Answer: A

25%25\% means 25100=0.25\frac{25}{100} = 0.25, and the word of means multiply. So pp equals 0.250.25 times qq, or p=0.25qp = 0.25q.

Choice B reverses the roles of the variables; it says that qq is 25%25\% of pp.

Why the other choices are wrong

  • B. This says q is 25% of p, which reverses the relationship.
  • C. 25% is 0.25, not 25.
  • D. Taking a percent of a number means multiplying, not adding.
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