Question

Gavin is working two summer jobs, making $14 per hour tutoring and $13 per hour landscaping. Last week Gavin worked a total of 10 hours and earned a total of $137. Determine the number of hours Gavin worked tutoring last week and the number of hours he worked landscaping last week.

Answer 1

Let t = hours tutoring and l = hours landscaping.

t + l = 10
14t + 13l = 137

From the first, l = 10 − t. Substitute:
14t + 13(10 − t) = 137
14t + 130 − 13t = 137
t + 130 = 137 → t = 7

Then l = 10 − 7 = 3.

Gavin tutored 7 hours and did landscaping 3 hours.