The Boston Celtics play a 75-game schedule. If they won 35 of there first 60 games how many more games must they win to win at least 80% of all 75 games?

Question

It's for Algebra 2, and has something to do with absolute inequalities...

Answer 1

80% of 75 games = 0.80*75 = 60 wins required  

 

They won 35 of their first 60 games.  There are only 75-60 = 15 games remaining.  Even if they win all 15 of the remaining games they will only get to 35+15 = 50 wins, which is 10 short of the 60 wins required.  So it is not possible for them to win at least 80% of all 75 games after winning 35 of their first 60 games.