A team won 80% of the games it played. It played 5 more games of which it won 3 and lost 2. Its loss percentage changed to 25%. How many games did it play overall?
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Answer:
20 games played overall
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Step-by-step explanation:
Let x be the number of games played overall.
Let w be the number of games won overall.
At the beginning:
* x-5 games had been played
* w-3 games had been won
* 80% had been won => (w-3)/(x-5) = 0.8
=> w - 3 = 0.8 ( x - 5 )
=> w - 3 = 0.8 x - 4
=> 0.8 x = w - 3 + 4 = w + 1 (*)
At the end:
* 25% had been lost
=> 75% won
=> w / x = 0.75
=> w = 0.75 x
Substituting this into equation (*),
0.8 x = 0.75 x + 1
=> 0.05 x = 1
=> x = 20
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