Question

Melanie sold her handcrafted bracelets at a local craft fair last week. She had to pay a $25 fee to secure showing space at the fair and spent an additional $75 on supplies for making the bracelets. Melanie sold her bracelets for $7.50 each and made a

profit of $230 by the end of the craft fair.

Select the correct equation to determine x, the number of bracelets Melanie sold at the craft fair.

A. 100 = 230 - 7.5x
B. 230 = 7.5x + 100
C. -100 - 7.5x = 230
D. 7.5x + 230 = 100
E. 7.5x = 230 - 100
F. 230 = 7.5x - 100

Answer 1

To determine the number of bracelets Melanie sold at the craft fair, you need to use the equation: Profit = Total Revenue - Total Cost. By calculating the total cost and total revenue, you can write the equation to determine the number of bracelets Melanie sold.

Step-by-step explanation:

To determine the number of bracelets Melanie sold at the craft fair, we can use the equation:

Profit = Total Revenue - Total Cost

First, let's calculate the total cost:

Total Cost = Fee + Supplies

• Fee = $25
• Supplies = $75

Total Cost = $25 + $75 = $100

Now, let's calculate the total revenue:

Total Revenue = Price per Bracelet * Number of Bracelets

• Profit = $230
• Price per Bracelet = $7.50

Total Revenue = $7.50 * Number of Bracelets = $7.5x

Finally, we can write the equation to determine x, the number of bracelets Melanie sold:

$7.5x = $230 - $100

$7.5x = $130

x = $130 / $7.5

x ≈ 17.3

Since the number of bracelets must be a whole number, we can round x down to 17.

Therefore, the correct equation to determine the number of bracelets Melanie sold at the craft fair is: B. 230 = 7.5x + 100

Answer 2

F. 230 = 7.5x - 100

Step-by-step explanation:

this equation illustrates how to determine the number of bracelets melaine sold, while the others do not