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:

$$220-2.50b=100$$