The Spanish club at Santa Fe Middle School wants to sell mini quiches to raise money for a field trip the cold Mary department at their school will make the kitchen for $30 plus 50 cents per piece for the ingredients the Spanish club wants to sell each piece to break even
and make a profit.
To break even, the Spanish club needs to make enough money from selling the mini quiches to cover the cost of making them.
Let x be the number of mini quiches the Spanish club needs to sell to break even. The total cost of making the quiches is $30 + 0.50x.
To break even, the Spanish club needs to sell the mini quiches for the same amount they spent making them. Therefore, the selling price per piece should be equal to the cost per piece:
Selling price = Cost per piece
x = $30 + 0.50x
Solving for x, we get:
0.50x = 30
x = 30 / 0.50
x = 60
Therefore, the Spanish club needs to sell at least 60 mini quiches to break even.
To make a profit, the Spanish club can set the selling price per piece higher than the cost per piece. They can choose a selling price that will allow them to make a profit on each quiche sold.