# guess and check with algebra

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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 last year be x

this year will be x - 3

games won last year = 80% of x  = 0.8

anticipated this year win = 90% of total games this year which = (x - 3)x 0.9

Games playing this year  =

First find the value of x

0.8x = 0.9(x-3)

X = 30

hence games this year = 30 - 3 = 27

Answer = 27 games played this year.

Wbry2 (51)
UCLA
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Anonymous
I was struggling with this subject, and this helped me a ton!

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