Answer: she worked 8 hours at Job A
She worked 16 hours at Job B
Step-by-step explanation:
Let x represent the number of hours that she worked job A.
Let y represent the number of hours that she worked job B.
Kathy works two part-time jobs for a total of 24 hours a week. This means that
x + y = 24
Job A pays $6.00 per hour, and Job B pays $7.30 per hour and she made $164.80 for the week. it means that
6x + 7.3y = 164.80 - - - - - - -1
Substituting x = 24 - y into equation 1, it becomes
6(24 - y) + 7.3y = 164.80
144 - 6y + 7.3y = 164.80
- 6y + 7.3y = 164.80 - 144
1.3y = 20.8
y = 20.8/1.3 = 16
x = 24 - y = 24 -16
x = 8
