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September 30, 2014

Posted by **Diana** on Wednesday, April 13, 2011 at 8:44am.

i tried many ways to figure this out and i keep gettin small decimals. can someone help me?

- Math -
**MattsRiceBowl**, Wednesday, April 13, 2011 at 9:20amThere is possibly an easier way to do this, but let me start off with this logic.

Let's find out how many games she won and lost. That will give us a little more information.

72\100 x 2400 = 1728. She won 1728 games, so she lost 672.

The thing we don't know yet is how many more games she will play. We know that each game will be win. We'll call each new game "n."

73% (2400 + n) = 1728 + n

1752 + .73n = 1728 + n

24 = .27n.

Take 24 divided by .27 to get n alone:

n = 88.8888

Since she cannot play .8888 games, we know she has to play 89 more. Let's check it.

2489 (the new number of games) x 73% = 1816.97 (or 1817...the new number of wins).

So she has to win 89 more games, which makes the total games won (which is how I read the question) 2489.

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