SOLUTION: Melinda is a single mom, working two jobs just to make ends meet. She makes $11.00 an hour as a receptionist in dental office and on weekends she works at a shoe store making $8.00

Question 1077203: Melinda is a single mom, working two jobs just to make ends meet. She makes $11.00 an hour as a receptionist in dental office and on weekends she works at a shoe store making $8.00 an hour. One week she worked 49 hours and made $506. How many hours did she work at each job?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = time in hrs she worked at dentsl office
= time in hrs she worked at shoe store
Let = her pay for working that week at dental office
= her pay for working that week at shoe store
--------------------------------------------------------
Equation for the dental office:
(1)
Equation for the shoe store:
(2)
-------------------------------
Substitute (1) into (2)
(2)
(2)
(2)
(2)
and

She worked 38 hrs at the dental office
and 11 hrs at the shoe store
----------------------------------------
check:
(1)
(1)
(1)
and
(2)
(2)
(2)
(2)
OK

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