Question

Trevor tutors French for $12 an hour and scoops ice cream for $8 an hour. He is going to work 20 hours this week. At least how many hours does he need to tutor to make more than $190? 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 $190? Please express the answer as a decimal number.

Answer 1

Explanation:

Let M = total amount of money earned

M = 12x+8y

To make more than $190, the equation is:

190<12x+8y

Since Trevor is going to scoop ice cream for 20 hours, the equation is:

190<12x+8(20), which simplifies to 190<12x+160.

Isolate x to find the amount of hours that Trevor needs to tutor.

190-160<12x

30<12x

30/12<x

2.5<x

Trevor must tutor for more than 2.5 hours to make more than $190.

Answer 2

x > 2.5 hrs

Explanation:

12x + 8(20)= 190

12x + 160 = 190

12x = 30

x > 2.5 hrs