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Anne is making greeting cards, which she will sell by the box at an arts fair. She paid $23 for a booth at the fair, and the materials for each box of cards cost $10. She will sell the cards for $11 per box of cards. At some point, she will sell enough cards so that her sales cover her expenditures. How much will the sales and expenditures be? How many cards will that take?

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Answer:To determine the point at which Anne's sales cover her expenditures, we can set up an equation based on the information provided.

Let:

- x be the number of boxes of cards sold.

- Total Expenditure = Booth Fee + (Cost per box * Number of boxes sold)

- Total Revenue = Selling Price per box * Number of boxes sold

Given:

- Booth Fee = $23

- Cost per box = $10

- Selling Price per box = $11

Equation:

Total Expenditure = $23 + ($10 * x)

Total Revenue = $11 * x

To find the break-even point where Total Expenditure equals Total Revenue:

$23 + ($10 * x) = $11 * x

$23 = $11 * x - $10 * x

$23 = $1 * x

x = 23

Therefore, Anne will need to sell 23 boxes of cards to reach the break-even point where her sales cover her expenditures.

Calculating the total sales and expenditures:

- Total Expenditure = $23 + ($10 * 23) = $23 + $230 = $253

- Total Revenue = $11 * 23 = $253

Thus, the total sales and expenditures will both be $253 when Anne sells 23 boxes of cards.

Step-by-step explanation:

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