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?

Answer 1

16 weeks

Step-by-step explanation:

Given:

Amount saved each week in the first 5 weeks = $25

Amount saved each week in the next 7 weeks = $25 + $20 = $45

Amount saved each week afterwards = $25

Total amount to be saved = $540

Now,

The total amount saved in the first 5 weeks = $25 × 5 = $125

The total saved in the next 7 weeks = $45 × 7 = $315

Thus,

The total amount saved till now = $125 + $215 = $440

Now,

The remaining amount to be saved = $540 - $440 = $100

The time required to save the $100 =
`\frac{\textup{100}}{\textup{25}}`

= 4

Hence,.

the total weeks required = 5 + 7 + 4 = 16 weeks