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

The percentage decrease from the first week to the third week is 25 %

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 + (50)/(100) * 500`

=
`500 + 0.5 * 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 - (50)/(100) * 750`

=
`750 -0.5 * 750`

= 750 - 375

= 375 bags

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

=
`(500 - 375)/(500) * 100`

=
`(125)/(500) * 100`

=
`0.25 * 100`

= 25 %