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

Step-by-step 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}}=(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} (30)/(x)=(2)/(3) \\ \text{solve for x} \\ 30\cdot3=2x \\ 90=2x \\ x=(90)/(2) \\ \\ x=45 \end{gathered}`

So, the answer is B.45