Question

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.
d.
Fran will not be able to reach her goal.



Please select the best answer from the choices provided


A
B
C

Answer 1

B

Her pay = 225/15 = $15/hr. Current weekly savings = $40. Extra hours h earn $15h that can all be saved, so 20-week savings = 20(40 + 15h) = 800 + 300h.
Solve 800 + 300h ≥ 1400 → 300h ≥ 600 → h ≥ 2 extra hours, so she must work at least 15+2 = 17 hours/week.