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Answer :
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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