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

12 quiches
12 quiches

20 quiches
20 quiches

75 quiches

1 answer

To break even, the Spanish Club needs to cover the cost of making the quiches, which is $30 plus $0.50 per quiche. Let's represent the number of quiches they need to sell as x.

The cost of making the quiches is $30 + $0.50x.

To break even, the Spanish Club needs to sell enough quiches to cover this cost. So, they need to sell x quiches for $2 each.

The revenue from selling the quiches is $2x.

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

$2x = $30 + $0.50x

Simplifying the equation:

$2x - $0.50x = $30

$1.50x = $30

Dividing both sides of the equation by $1.50:

x = $30 / $1.50

x = 20

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