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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?

Respuesta :

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

[tex]x+y=20----(1)[/tex]

Also, since he made $127 in a week;

[tex]6x+6.70y=127----(2)[/tex]

Isolate for x in equation one.

[tex]x=20-y[/tex]

Substitute the above in equation 2.

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

Also,

[tex]x=20-y\Rightarrow x=20-10=10[/tex]

Answer: Job A= 10 hours

Job B= 10 hours

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