Question

Casey earned $220 selling baked goods. Her expenses were $2.50 per baked good. Write an equation that can be used to solve for b if Casey would have to sell in order to make a profit of $100

Answer 1

To find an equation that can be used to solve for \( b \), the number of baked goods Casey needs to sell to make a profit of $100, we can start by looking at the components of Casey's earnings and expenses.

Casey's total earnings from selling baked goods is $220. Her expenses for selling each baked good is $2.50. Therefore, if she sells \( b \) baked goods, her total expenses will be \( 2.50b \).

To calculate profit, we use the formula:

\[
\text{Profit} = \text{Total Earnings} - \text{Total Expenses}
\]

In this case, Casey wants to make a profit of $100, so we can set up the following equation:

\[
\text{Profit} = 220 - 2.50b
\]

Setting this equal to $100 (the desired profit):

\[
220 - 2.50b = 100
\]

Now, we can solve for \( b \):

1. Subtract 220 from both sides:

\[
-2.50b = 100 - 220
\]

\[
-2.50b = -120
\]

2. Divide both sides by -2.50 to isolate \( b \):

\[
b = \frac{-120}{-2.50}
\]

\[
b = 48
\]

Therefore, Casey needs to sell 48 baked goods to make a profit of $100.

As a final summary, the equation that can be used to solve for \( b \) is:

\[
220 - 2.50b = 100
\]