Question

A baseball player strikes out three times for every two hits he gets if the player strikes out 15 times how many hits does he get if the player gets 46 hit how many times does he strike out

Answer 1

The player will get 10 hits for 15 times strikes out.

The player will strike out 69 times for 46 hits.

Step-by-step explanation:

Given,

Ratio of strike out to hits = 3:2

Condition 1: If the player gets 15 strikes out;

Let,

x be the hits for 15 times strikes out.

Using proportion;

Strike out : hit :: strike out : hit

$3:2::15:x$

Product of mean = Product of extreme

$15*2=3*x\\3x=30$

Dividing both sides by 3;

$\frac{3x}{3}=\frac{30}{3}\\x=10$

The player will get 10 hits for 15 times strikes out.

Condition 2: if the player gets 46 hits

Let,

y be the strikes out.

Using proportion,

Strike out : hit :: strike out : hit

$3:2::y:46$

Product of mean = Product of extreme

$2*y=46*3\\2y=138$

Dividing both sides by 2;

$\frac{2y}{2}=\frac{138}{2}\\y=69$

The player will strike out 69 times for 46 hits.

Keywords: Ratio, proportion

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