Question

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 plush 0.50 per quiche for the ingredients. The Spanish club wants to sell each quiche for 2 dollars How many quiches will they need to sell in order to break even?

Answer 1

To determine how many mini quiches the Spanish club needs to sell to break even, we need to calculate the total cost of making the quiches and compare that to the revenue generated from selling them.

1. Cost to make the quiches:

   • The fixed cost is $30.
   • The variable cost per quiche is $0.50.

2. Selling price:

   • Each quiche is sold for $2.

Let \( x \) be the number of quiches sold.

Total cost (C): \[ C = 30 + 0.50x \]

Revenue (R): \[ R = 2x \]

To break even, total revenue must equal total cost: \[ 2x = 30 + 0.50x \]

Now, let's solve for \( x \):

1. Subtract \( 0.50x \) from both sides: \[ 2x - 0.50x = 30 \] \[ 1.5x = 30 \]

2. Divide both sides by 1.5: \[ x = \frac{30}{1.5} = 20 \]

Therefore, the Spanish club needs to sell 20 mini quiches to break even.