Real-World Systems of Equations Quick Check

Question

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

12 quiches
12 quiches

20 quiches
20 quiches

45 quiches
45 quiches

75 quiches
75 quiches

Answer 1

The correct response is:
45 quiches

To break even, the total revenue from selling quiches must equal the total cost of making them. The cost of making 1 quiche is $30 + $0.50 = $30.50. The Spanish Club sells each quiche for $2. To find the breakeven point, we set up the equation:
$30.50x = $2x
$30.50x = $2x
$28.50x = 0
x = 0

So, they will need to sell 45 quiches in order to break even.