Question

Chuy wants to buy a new television. The television costs $1,350. Chuy decides to save the same amount of money each week, for 27 weeks. After 8 weeks Chuy saved $440. Which of the following conclusions can you make about Chuy's plan?
a.
Chuy has a good plan and will have exactly $1,350 saved at the end of 27 weeks.
b.
Chuy must increase the amount he saves each week in order to meet his goal at the end of 27 weeks.
c.
Chuy will save more than he needs and will meet his goal in less than 27 weeks.
d.
There is not enough information given to make a conclusion about Chuy's plan.

Answer 1

Compute his weekly savings: 440 ÷ 8 = $55 per week.
After 27 weeks he would save 27 × 55 = $1,485, which is more than $1,350. He reaches $1,350 in 1,350 ÷ 55 ≈ 24.545 weeks, so by the end of week 25 he will have at least $1,350.

Therefore (c) is correct.