Elena is making greeting cards, which she will sell by the box at an arts fair. She paid $54 for a booth at the fair, and the materials for each box of cards cost $9.50. She will sell the cards for $11 per box. At some point, she will sell enough cards so that her sales cover her expenses. How much will the sales and expenses be? How many boxes of cards will that take? Elena's sales and expenses will both be $____ if she sells ____ boxes of cards.

Question

Elena is making greeting cards, which she will sell by the box at an arts fair. She paid $54 for a booth at the fair, and the materials for each box of cards cost $9.50. She will sell the cards for $11 per box. At some point, she will sell enough cards so that her sales cover her expenses. How much will the sales and expenses be? How many boxes of cards will that take?   Elena's sales and expenses will both be $____ if she sells ____ boxes of cards.

Bytelearn · Accepted Answer

Calculate net profit:  Calculate the net profit per box by subtracting the cost per box from the selling price per box. Set up equation:  Set up the equation to find the number of boxes needed to cover the booth cost. Solve for x:  Solve for $ x $ by dividing both sides of the equation by 1.50. Calculate total sales:  Calculate the total sales when 36 boxes are sold. Calculate total expenses:  Calculate the total expenses, which include the booth cost and the cost of materials for 36 boxes.

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