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

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

anonymous · Answer

Find the total saved for the first 5 weeks.
Then find the total saved for the next 7 weeks.
Add the two amounts.
Subtract that from the total desired....

ranga · Answer

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.