# SUMMER JOBS

Date of the Problem
June 12, 2023

This summer, Owen and Jack will both have part time jobs. Owen will be working as a lifeguard and Jack will be working as a server at a local restaurant. Owen plans to work 15 hours each week and will be making \$7 per hour. Jack will make an hourly rate of \$2.10 plus 18% of his sales in tips. If Jack averages \$30 in sales per hour, how many hours will he need to work in order to make the same amount per week as Owen?

Owen will make \$7/hour × 15 hours/week = \$105/week. Jack will make \$2.10/hour + 0.18 × \$30/hour = \$7.50/hour. In order to make the same amount per week as Owen, Jack will need to work \$105/week ÷ \$7.50/hour = 14 hours/week.

Owen and Jack will both work 15-hour weeks, but Jack’s paychecks will be reduced by 6% for state income tax. What will be the absolute difference in Owen and Jack’s weekly pay?

Owen will be making \$105 per week, as calculated in the previous solution. Jack will be making \$7.50/hour × 15 hours = \$112.50 but will then pay a 6% state income tax. Jack will actually take home (1 − 0.06) × \$112.50 = 0.94 × \$112.50 = \$105.75 per week. Jack will make \$0.75 more per week than Owen.

At the end of the summer, Jack and Owen each will have worked for 12 weeks. They plan to combine their earnings in a joint account to save to buy a used car when they get their licenses. If the account earns 4% interest annually, what is the total amount Jack and Owen will have in their savings account in two years when they get their licenses?

Jack will earn \$105.75 per week, and Owen will earn \$105 per week. Collectively, at the end of the summer, they will have earned 12 × (\$105.75 + \$105) = 12 × \$210.75 = \$2529. After one year, they will have 1.04 × \$2529 = \$2630.16 in their account. After two years, they will have 1.04 × \$2630.16 = \$2735.37.

Page 1 of the linked PDF contains PROBLEMS & SOLUTIONS.

Page 2 contains ONLY PROBLEMS. ♦

Math topic
CCSS (Common Core State Standard)
Difficulty