Question

Working her way through high school Kathy works two part-time jobs for a total of 26 hours a week job a pays six dollars per hour and Job b pays 6.60 per hour how many hours did she work each job the week she made $163.20

Answer 1

Answer:she worked job A for 14 hours

She worked job B for 12 hours

Explanation:

Let x represent the number of hours worked job A.

Let y represent the number of hours worked job B

Kathy works two part-time jobs for a total of 26 hours in a week. This means that

x + y = 26

Job A pays six dollars per hour and Job B pays 6.60 per hour and that week, she made $163.20

It means that

6x + 6.6y = 163.2 - - - - - - -1

Substituting x = 26 - y into equation 1, it becomes

6(26 - y) + 6.6y = 163.2

156 - 6y + 6.6y = 163.2

- 6y + 6.6y = 163.2 - 156

0.6y = 7.2

y = 7.2/0.6 = 12

x = 26 - y = 26 - 12

x = 14