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Algebra 1: Linear equation word problem?

A baseball player's batting average is the number of hits the player has divided by the number of at-bats. At the beginning of a game, a player has a batting average of .360. During a game, the player gets 3 hits during 5 at-bats, and his batting average changes to .375.

a) Write a system of linear equations that represent the situation.

b) How many at-bats has the player had so far?

c) Another player on the team has a batting average of .240 at the beginning of the same game. During the game, he gets 3 hits during 5 at-bats, and his batting average changes to .300. Has this player had more at-bats so far this season than the other player.

If you could show your work that would be great

PS. This isn't for a grade but it is a study question and I want to know how to do this before the test.

1 Answer

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  • PZ
    Lv 4
    1 decade ago
    Favorite Answer

    h = hits n = number of at bats

    a)

    .360 = h/n

    .375 = (h+3)/(n+5)

    b) Cross multiply each equation to get

    .360n=h

    .375(n+5) = h+3

    Substitute .360n in for h in second equation

    .375(n+5) = .360n +3

    Solve for n n = 75

    c) do the same as in a and b for the second players averages and then compare.

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