guess and check with algebra

User Generated



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?


Student has agreed that all tutoring, explanations, and answers provided by the tutor will be used to help in the learning process and in accordance with Studypool's honor code & terms of service.

Explanation & Answer

Thank you for the opportunity to help you with your question!

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.

Please let me know if you need any clarification. I'm always happy to answer your questions.

Wbry2 (51)

I was struggling with this subject, and this helped me a ton!