# ozzie knows that this year her team will play 3 less games than last year. Last

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ybeenvarybir

Mathematics

### Question Description

ozzie knows that this year her team will play 3 less games than last year. Last year they won 80% of their games. If they win, 90% of their games this year, they will have won the same amount of games as last year. How many games are they playing this year?

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Let the number of games played last year be y

This year they will play y-3

Total number of games they won last year = 80/100 x y = 0.8y

If they win 90% of their games this year they would have won 90/100 x (y-3) = 0.9y - 2.7

So 0.8y = 0.9y-2.7 since if they win 90% of their games this year,  they will have won the same amount of games as last year

Now lets solve

0.8y = 0.9y - 2.7

2.7 = 0.9y - 0.8y

2.7 = 0.1y

27 = y

y = 27

So this year they will play 27-3 = 24 games.

Znljrngure (69)
UC Berkeley
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