Morgan is arranging a bowling party for his friends. The party room at the bowling alley is $35. The bowling alley offers a party package that includes unlimited games and shoe rental for $10 per person. Morgan thinks it will cost an additional $3 per person for snacks. What is the maximum number of people that Morgan can invite to stay under his budget of $175?

Your inequality is (x being number of people):

175≥35+10x+3x

First, combine like terms so your new inequality is:

175≥35+13x

Then subtract 35 from both sides which makes it:

140≥13x

then divide 140 by 13 making it:

10.769≥x

But because you can't have. 769 of a person the actual answer is 10

then you have to subtract 1 because he isn't including himself and there is the answer!:

9≥x