Answer:
The percentage decrease from the first week to the third week is 25 %
Step-by-step explanation:
The number of popcorn bags sold on the first week = 500 bags
The second week, they sell 50% more than the first week
So, the number of bags sold on the second week is
= 500 + 50% of 500
=[tex]500 + \frac{50}{100} \times 500[/tex]
= [tex]500 + 0.5 \times 500[/tex]
= 500 + 250
= 750 bags
The third week, they sold 50% less than the second week
So, the number of bags sold on the third week is
= 750 - 50% of 750
= [tex]750 - \frac{50}{100} \times 750[/tex]
= [tex]750 -0.5 \times 750[/tex]
= 750 - 375
= 375 bags
Now the percentage decrease from the first week to the third week is
=[tex]\frac{500 - 375}{500} \times 100[/tex]
= [tex]\frac{125}{500} \times 100[/tex]
= [tex]0.25 \times 100[/tex]
= 25 %
