In baseball, the batting average is determined by dividing the number of hits by the number of at-bats. Harry is playing in a game in which he stats with a batting average of .262 and goes 3 hits out of 5 at-bats. He ended the game with a batting average of .278 . Is it possible to find the number of hits and at-bat before and after the game?
We have sufficient information to solve for the number of hits and at-bat before and after the game by establishing an algebraic equation, isolating either hits (which we represent as "X") or at-bats (which we represent as "Y"). Prior to the current game, X / Y equaled .262. After the current game, (X+3) / (Y+5) = .278. This allows us to substitute X with (.262Y) and solve the equation:
((.262Y*) + 3) / (Y+5) = .278.
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