Question

11. Albert started a brownie-making business. He

spent $650 to purchase supplies to get started and
he uses about $2.25 worth of supplies per brownie
made. Albert charges $5 for each brownie. Let b
represent the number of brownies.
What is the minimum number of brownies Albert
will need to sell to make a profit?
Write an inequality to solve this situation and then
solve the inequality.

Answer 1

2.75b > 650

Min Number of Brownies = 237

See below

Explanation:

Total cost is 650, which he needs to overcome for profit.

To make profit, albert needs to sell b brownies worth $5 each to overcome 650. and remember, he used up 2.25 per brownies, so his profit per brownie is:

5 - 2.25 = 2.75

Thus, how many brownies would make 2.75 greater than 650?? We can write an inequality of the form shown below:

2.75b > 650

Now, solving, we get:

2.75b > 650

b > 650/2.75

b > 236.36

So the minimum number of brownies to sell would be 237 brownies