Question

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?

Answer 1

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