Question

Fred is playing tennis. For every 2 of his serves that land in, 3 serves land out. If he hit 30 serves in, how many serves landed out? A. 90 B. 45 C. 6 D. 180

Answer 1

B.45

Explanation

Step 1

fin the proportion between the serves that land in and the serves land out,it is

$\text{proportion}=\frac{\text{serves land in}}{\text{serves land out}}=\frac{2}{3}$

Step 2

when he hit 30 serves in, the proportion is the same,

Let x represents how many serves landed out

$\begin{gathered} \frac{30}{x}=\frac{2}{3} \\ \text{solve for x} \\ 30\cdot3=2x \\ 90=2x \\ x=\frac{90}{2} \\ \\ x=45 \end{gathered}$

So, the answer is B.45