Breanna works in the mall and her hours increase during busy shopping times of the year. Breanna has a plan to save $25 each week for 5 weeks, and then increase that amount by $20 for the next 7 weeks during the busy time, then go back to $25 per week. If Breanna's plan is to save $540, how many weeks total will she need to save?

a.

11 weeks

b.

16 weeks

c.

22 weeks

d.

23 weeks

Question

Madden

Mathematics

12 September, 03:30

Breanna works in the mall and her hours increase during busy shopping times of the year. Breanna has a plan to save $25 each week for 5 weeks, and then increase that amount by $20 for the next 7 weeks during the busy time, then go back to $25 per week. If Breanna's plan is to save $540, how many weeks total will she need to save?

a.

11 weeks

b.

16 weeks

c.

22 weeks

d.

23 weeks

+3

Answers (1)

Know the Answer?

Farley · Answer 1

From the given problem above, the correct answer would be option b. 16 weeks. Here is the solution to find the answer of 16 weeks.

Savings in the first 5 weeks: $25 x 5 = $125

Savings in the next 7 weeks: $45 x 7 = $315

Savings in the next "x" weeks: $25 x "x" = $25x

Total savings: $125 + $315 + $25x = $540

440 + 25x = 540

25x = 540 - 440 = 100

x = 100/25 = 4

Total weeks = 5 + 7 + x = 12 + 4 = 16 weeks.