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Working his way through school, Joe works two part-time jobs for a total of 20 hours a week. Job A pays $6.00 per hour, and Job B pays $6.70 per hour. How many hours did he work at each job the week that he made $127.00?

User Gcarmiol
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1 Answer

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Step-by-step explanation

Let the number of hours Joe worked at the first job be x while the number of hours he worked at the second job be y.

Therefore, since he works 20 hours per week, we can say that


x+y=20----(1)

Also, since he made $127 in a week;


6x+6.70y=127----(2)

Isolate for x in equation one.


x=20-y

Substitute the above in equation 2.


\begin{gathered} 6(20-y)+6.70y=127 \\ 120-6y+6.7y=127 \\ 0.7y=127-120 \\ 0.7y=7 \\ y=(7)/(0.7) \\ y=10 \end{gathered}

Also,


x=20-y\Rightarrow x=20-10=10

Answer: Job A= 10 hours

Job B= 10 hours

User Alexander Yanyshin
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