Question

Jimmy earned $117 this week by working 17 hours. He coached baseball for $6 per hour and worked at a gym for $9 per hour. How many hours did Jimmy work at each job?

Answer 1

Total earnings = $117

Total hours = 17

Earnings on each job:

Baseball coaching per hour = $6

Gym per hour = $9

So, we have to write an equation:

x= number of hours at baseball cocaching

y= number of hours working at the gym

The system of equations:

x+y= 17 (a)

6x+9y=117 (b)

Solve (a) for x:

x=17-y

Replace x on (b) and solve for y:

6(17-y)+9y=117

102-6y+9y=117

-6y+9y =117-102

3y= 15

y=15/3

y=5

Replace y on (a) ans solve for x:

x+5 = 17

x=17-5

x= 12

Hours worked at the gym (y)= 5

Hours worked at basesball (x)= 12