The art club spent $45 on supplies for valentines to sell during lunches. They made 60 valentines. What selling price for a valentine would result in a profit of zero if all the valentines are sold?

$0.60
$0.75
$1.00
$1.33

1 answer

To determine the selling price per valentine that would result in a profit of zero, we start by calculating the total cost of supplies and then dividing it by the number of valentines.

The art club spent $45 on supplies and made 60 valentines. The selling price (P) that would result in a profit of zero can be found by setting the total revenue equal to the total cost.

  1. Total Cost: $45
  2. Number of Valentines: 60

To break even (zero profit), the total revenue (selling price per valentine multiplied by the number of valentines) must equal the total cost:

\[ \text{Total Revenue} = \text{Number of Valentines} \times \text{Selling Price} \]

Setting this equal to the total cost:

\[ 60 \times P = 45 \]

Now, solving for P:

\[ P = \frac{45}{60} = 0.75 \]

Thus, the selling price per valentine that would result in a profit of zero is $0.75.