SOLUTION: Set up the following word problem as a proportion and solve. Then finish your response by answering the question in the word problem. A softball player’s batting average is the ra

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Question 1129796: Set up the following word problem as a proportion and solve. Then finish your response by answering the question in the word problem.
A softball player’s batting average is the ratio of hits the player makes to the number of times the player is at bat. If Paul’s batting average is 0.400, how many hits would he expect to get in 25 times at bat? Show how you identify what you are looking for, set up the equation, and arrive at your answer. Then clearly state your answer.
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
0.400 batting average is 40 hits in 100 times at bat.

25%284%2F10%29=25%282%2F5%29=highlight%2810%29

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


To solve the problem using proportions, change the decimal batting average to a fraction. Writing the fraction in lowest terms will help keep the numbers small, but it is not necessary.

0.400 = 400/1000 = 4/10 = 2/5

Then the proportion to solve the problem, in words is

"2 hits in 5 times at bat is equal to how many hits in 25 times at bat?".

In algebraic notation,

2%2F5+=+x%2F25

Multiply both sides by 25 to solve for x:

25%282%2F5%29+=+50%2F5+=+10+=+x

The player can expect to get 10 hits in his next 25 times at bat.