Question

A team is selling pop corn for a fundraiser. The first week, they sell 500 bags. The second week, they sell 50% more than the first week. During the third week, they sold 50% less than the second week. What is the group’s percent decrease from the first to the third week?

Answer 1

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

=$500 + \frac{50}{100} \times 500$

= $500 + 0.5 \times 500$

= 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

= $750 - \frac{50}{100} \times 750$

= $750 -0.5 \times 750$

= 750 - 375

= 375 bags

Now the percentage decrease from the first week to the third week is

=$\frac{500 - 375}{500} \times 100$

= $\frac{125}{500} \times 100$

= $0.25 \times 100$

= 25 %