Question

In order to receive the silver level prize for selling Girl Scout cookies, Jill must sell at least $1000 worth of cookies but no more than $2000 worth. Jill has already sold $600 worth and each box of cookies sells for $5. Write and solve a compound inequality that represents how many more boxes of cookies Jill must sell to be eligible for the silver level prize.

Answer 1

Jill must sell between 80 and 280 more boxes of cookies to be eligible for the silver level prize, given that each box sells for $5 and she has already sold $600 worth.

Step-by-step explanation:

To determine how many more boxes of cookies Jill must sell to be eligible for the silver level prize, we can establish a compound inequality. Jill has already sold $600 worth and needs to sell at least $1000 but no more than $2000 worth of cookies. Since each box sells for $5, we can represent the number of boxes she needs to sell with the variable x.

The compound inequality will look like this:

• 1000 - 600 ≤ 5x ≤ 2000 - 600

We subtract the $600 she has already sold from both the minimum and maximum targets to find out how much more she needs to sell:

• 400 ≤ 5x ≤ 1400

Next, we divide all parts of the inequality by 5 to solve for x:

• 80 ≤ x ≤ 280

This means Jill must sell between 80 and 280 more boxes to be eligible for the silver level prize.