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The Spanish Club at Santa Fe Middle School wants to sell mini quiches to raise money for a field trip. The culinary department at their school will make the quiches for $30 plus $0.50 per quiche for the ingredients. The Spanish Club wants to sell each quiche for $2. How many quiches will they need to sell in order to break even?(1 point)
Responses

45 quiches
45 quiches

75 quiches
75 quiches

12 quiches
12 quiches

20 quiches

1 answer

To find out how many quiches the Spanish Club needs to sell to break even, we need to calculate their total costs and total revenues:

  1. Cost of making the quiches:

    • Fixed cost: $30
    • Variable cost per quiche: $0.50

    Total cost for selling \( x \) quiches: \[ \text{Total Cost} = 30 + 0.50x \]

  2. Revenue from selling the quiches:

    • Selling price per quiche: $2

    Total revenue from selling \( x \) quiches: \[ \text{Total Revenue} = 2x \]

  3. Set the total cost equal to the total revenue to find the break-even point: \[ 30 + 0.50x = 2x \]

  4. Solve for \( x \):

    • Rearranging gives: \[ 30 = 2x - 0.50x \] \[ 30 = 1.5x \] \[ x = \frac{30}{1.5} = 20 \]

Thus, the Spanish Club needs to sell 20 quiches to break even.

The correct answer is: 20 quiches