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3 years ago

Will mark brainliest plz help

Mathematics

1 answer:

PtichkaEL [24]3 years ago

5 0

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 $>$ 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.

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