Question

Shannon is selling boxes cookies and candy for a fundraiser. She's sold each box of cookies for $5.25. She also sold one one box of candies for $8.75.

Shannon set a goal to sell at least $200 of cookies and candies for her fundraiser.

What was the minimum boxes of cookies Shannon needed to sell to reach her goal?

Answer 1

The minimum boxes of cookies is 39

Explanation:

Let

x ----> the number of boxes of cookies sold

y ----> the number of boxes of candies sold

we know that

The word "at least" means "greater than or equal to"

so

The inequality that represent this problem is

`5.25x+8.75y\geq 200`

The solution is the shaded area above the solid line
`5.25x+8.75y=200`

using a graphing tool

The solution is the shaded area -----> see the attached figure

Find out the minimum boxes of cookies needed to sell to reach the goal

assuming only cookies are sold

For y=0

`5.25x+8.75(0)\geq 200`

`5.25x\geq 200`

solve for x

`x\geq 38.1`

Round up

therefore

The minimum boxes of cookies is 39