You have two jobs. One job pays $7 per hour and the other pays $8.25 per hour. You worked 22 hours total last week and earned $171.50. How many hours did you work at each job?

X = 1st job

y = 2nd job

x + y = 22 ... x = 22 - y

7x + 8.25y = 171.50

7 (22 - y) + 8.25y = 171.50

154 - 7y + 8.25y = 171.50

-7y + 8.25y = 171.50 - 154

1.25y = 17.50

y = 17.50 / 1.25

y = 14 < = = 14 hrs at the 8.25 per hr job

x + y = 22

x + 14 = 22

x = 22 - 14

x = 8 < = = = 8 hrs at the 7 per hr job