Question
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
$0.60
$0.75
$1.00
$1.33
Answers
GPT-4o mini
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**.
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**.
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