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Answer :
Answer:she worked job A for 14 hours
She worked job B for 12 hours
Step-by-step 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
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