High School

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Kathy works two part-time jobs for a total of 24 hours a week. Job A pays $6.00 per hour, and Job B pays $7.30 per hour. How many hours did she work at each job the week she made $164.80?

Answer :

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

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