Question

Brian is working his way through school. He works two part-time jobs for a total of 24 hours a week. Job A pays $5.80 per hour, and Job B pays $7.40 per hour. How many hours did he work at each job the week that he made $161.60.

Answer 1

Answer:

10, 14

Step-by-step explanation:

A + B = 24, so A = 24 - B

5.8A + 7.4B = 161.6

Substitute the first equation into the second

5.8(24 - B) + 7.4B = 161.6

139.2 - 5.8B + 7.4B = 161.6

139.2 + 1.6B = 161.6

1.6B = 22.4

B = 14, So he works 14 hours at job B.

Together they make 24, so he works 10 hours at job A.