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

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.

Logical equivalent of the give question is its contrapositive

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