Breanna works in the mall and her hours increase during busy shopping times of the year. Breanna has a plan to save $25 each wee
2 answers:
Answer:
Number of weeks Breanna saves are 16 weeks .
Option (b) is correct .
Step-by-step explanation:
As given
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.
Thus
Breanna saves in first 5 weeks = Amount saves per weeks in next 5 weeks × Number of weeks .
= $25 × 5
= $ 125
Increase that amount by $20 for the next 7 weeks during the busy time.
Thus
Amount saves per weeks for next 7 weeks = Amount saves per weeks in first 5 weeks + Increase in amount .
= $25 +$ 20
= $ 45
Breanna saves in next 7 weeks = Amount saves per week× Number of weeks .
Put all the values in the above
= $45 × 7
= $ 315
As given
Breanna saves $25 per week.
If Breanna’s plan is to save $540 .
Let us assume last weeks in which Breanna saves $25 per weeks be x .
Breanna saves in last x weeks = Amount saves for next x weeks × Number of weeks .
= 25 × x
= 25x
Equation becomes
Breanna saves in first 5 weeks + Breanna saves in next 7 weeks + Breanna saves in last x weeks = Total saving amount .
125 + 315 + 25x = 540
440 + 25x = 540
25x = 540 - 440
25x = 100
x = 4 weeks
Thus
Total number of weeks Breanna saves = 5 weeks + 7 weeks + 4 weeks
= 16 weeks
Therefore the number of weeks Breanna saves are 16 weeks .
Option (b) is correct .
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