Real-World Systems of Equations Quick Check 4 of 54 of 5 Items 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 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 75 quiches 75 quiches 20 quiches 20 quiches 12 quiches 12 quiches 45 quiches

Answer 1

To break even, the cost of making the quiches should be equal to the revenue from selling them.

The cost of making the quiches is $30 + $0.50 per quiche, and the revenue from selling each quiche is $2.

Let the number of quiches be x.

The cost of making the quiches is 30 + 0.50x dollars.
The revenue from selling the quiches is 2x dollars.

To break even, the cost and revenue should be equal:
30 + 0.50x = 2x

Subtract 0.50x from both sides of the equation:
30 = 1.50x

Divide both sides of the equation by 1.50:
30/1.50 = x
20 = x

Therefore, they will need to sell 20 quiches in order to break even.