Fran brings home $225 per week working 15 hours of which she is able to save $40. Fran wants to have $1,400 saved at the end of 20 weeks. She may work up to 18 hours per week if she wants. She can save all of the money earned working the extra hours. Which of the following statements is true? a. Fran must work at least 15 hours per week to meet her goal. b. Fran must work at least 17 hours per week to meet her goal. c. Fran must work at least 18 hours per week to meet her goal.
Fran earns $225 ÷ 15 = $15 per hour. Saving $40 each week gives her $40 × 20 = $800, so she needs another $600 to reach $1,400. Each extra hour she works per week adds $15 × 20 = $300 in savings, so she needs 2 extra hours per week, for a total of 17 hours. The true statement is that Fran must work at least 17 hours per week.
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