Question

Shaniqua brings home $225 per week working 25 hours. She is able to save $25 of her earnings each week. Shaniqua wants to have $600 saved at the end of 15 weeks. She is allowed to work up to 30 hours per week if she wants. She can save all the money earned working extra hours. Which of the following statements is true?
a.
Shaniqua will meet her goal working 25 hours per week.
b.
Shaniqua must work 27 hours per week to meet her goal.
c.
Shaniqua must work 30 hours per week to meet her goal.
d.
Shaniqua will not be able to reach her goal

Answer 1

Hourly rate = 225/25 = $9/hour. Current savings in 15 weeks = 25·15 = $375, so she needs an extra $600−$375 = $225.

She can save the extra hours' pay: per extra hour she saves $9, so she needs 225/15 = $15 more per week, which is 15/9 = 5/3 ≈ 1.67 extra hours per week. Rounding up to whole hours, she must work 2 extra hours/week → 25+2 = 27 hours/week.

So (b) is true.