Question

will mark brainliest plz help
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

Answer:

A. 5b > 650 + 2.25b; B. 237 brownies

Step-by-step explanation:

A. Set up the inequality

Let b = the number of brownies. Then

Cost = 650 + 2.25b

Sales = 5b

Profit = Sales - Cost

To make a profit, we must have

Sales - Cost > 0 or

5b > 650 + 2.25b

2. Solve the inequality

$\begin{array}{rcl}5b & > & 650 + 2.25b\\2.75b & > & 650\\b & > & \dfrac{650}{2.75}\\\\& > & 236.4\\\end{array}\\\text{Albert can't sell a fraction of a brownie, so b {data-answer}gt; 237}\\\text{Albert must sell at least \large \boxed{\textbf{237 brownies}} to make a profit.}$

3. Check

$\begin{array}{rcl}5 \times 237 & > & 650 + 2.25 \times 237\\1185 & > & 650 + 533.25\\1185 & > & 1183.25\\\end{array}$

OK.