Problema Solution

Trevor tutors French for $15 and hour and scoops ice cream for $10 an hour. He is going to work 15 hours this week. At least how many hours does he need to tutor to make more than $180? Let x equal the number of hours he tutors and y be the number of hours he scoops ice cream.

At least how many hours does Trevor need to tutor to make more than $180?

Answer provided by our tutors

x + y = 15 => y = 15 - x


Trevor needs to tutor to make more than $180


15x + 10y > 180


plug y = 15 - x into the inequality


15x + 10(15 - x) > 180


by solving we find


x > 6


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Trevor needs to tutor more than 6 hours.