Question

the spanish club at santa fe middle school wants to sell 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

Answer 1

To break even, the Spanish club needs to cover the cost of making the quiches, which is $30 for the culinary department and $0.50 per quiche for the ingredients. Let's call the number of quiches they need to sell to break even x.

The cost of making the quiches is a fixed cost of $30, regardless of the number of quiches made.

The cost of the ingredients per quiche is $0.50. So, the total cost of the ingredients for x quiches is 0.5x.

The total cost of making the quiches is the sum of the fixed cost and the cost of the ingredients:
Total cost = Fixed cost + Cost of ingredients
Total cost = $30 + $0.5x

The revenue from selling x quiches at $2 per quiche is:
Revenue = Price per quiche x Number of quiches sold
Revenue = $2x

For the Spanish club to break even, the total cost of making the quiches must equal the revenue from selling the quiches:
$30 + $0.5x = $2x

To solve for x, let's isolate x on one side of the equation:
$0.5x - $2x = -$30
-$1.5x = -$30

Now, divide both sides of the equation by -1.5:
x = -$30 / -$1.5
x = 20

Therefore, the Spanish club will need to sell 20 quiches in order to break even.