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Its the first time I am asking a question on a forum. I have been self-studying math for a month and now am stuck in word problem chapter. I searched a lot for a solution manual, but I didn't find any.

Book: College Algebra by M.A. Munem

How to solve the question below?

Help will be appreciated.

QUESTION:

In baseball, a player’s batting average is found by dividing the number of safe hits by the number of times at bat. A certain player got $50$ safe hits in his first $200$ times at bat in the baseball season. He hits $0.300$ for the rest of the season and finishes with a season average of $0.280$. How many times was the player at bat during the entire season?

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  • $\begingroup$ Welcome to MathSE. Please edit your question to show what you have attempted and explain where you are stuck so that you receive responses that address the specific difficulties you are encountering. This tutorial explains how to typeset mathematics on this site. $\endgroup$ – N. F. Taussig May 14 at 21:14
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Let n be the total number of times at bat for the season. Since the player's batting average was 0.280 he had a total of 0.280n hits for the entire season. Since his average "for the rest of the season", when he had n- 200 at bats, was 0.300, he had 0.300(n- 200) hits in that period. He got 50 hits in those 200 at bats so he had a total of 50+ 0.300(n- 200)= 0.280n for the season. 0.3n- 60= .28n. Solve that equation for n.

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  • $\begingroup$ Thank you for help. $\endgroup$ – Askani May 15 at 17:32

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