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Mila is working two summer jobs, making $9 per hour babysitting and $17 per hour lifeguarding. Last week Mila earned a total of $138 and worked 2 more hours lifeguarding than hours babysitting. Determine the number of hours Mila worked babysitting last week and the number of hours she worked lifeguarding last week.

 Jan 17, 2020
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Let the variable b represent the number of hours spent babysitting.

Then, the number of hours spent lifeguarding = b + 2.

Amount of money made:  9·b + 17·(b + 2)  =  138

Simplifying:                       9b + 17b + 34  =  138

                                                  26b + 34  =  138

                                                           26b  =  104

                                                               b  =  4      <---  hours spent babysitting

                                                         b + 2  =  6      <---  hours spent lifeguarding

 Jan 17, 2020

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