rita makes and sells necklaces. the materials...
rita makes and sells necklaces. the materials to make each necklace cost $2.75. last week she made 8 necklaces and wants to make a total profit of $78. using the equation 8(x + 2.75)=78, rita determined that she needs to sell each necklace for $7 to make a total profit of $78. which error did rita make?\n\nalthough she has the correct equation, she needs to sell each necklace for $12.50.\n\nalthough she has the correct solution, she should have used the equation 8(x - 2.75)=78.\n\nthe equation should be 8(x - 2.75)=78, and she needs to sell each necklace for $12.50.\n\nthe equation should be 1/8(x - 2.75)=78, and she needs to sell each necklace for $75.25.
Answer
# Explanation:
## Step1: Define profit - cost relationship
Profit per necklace is selling price minus cost price. Cost of making each necklace is $2.75. Let the selling price of each necklace be $x$. So profit per necklace is $x - 2.75$.
## Step2: Set up the correct equation
She made 8 necklaces and wants a total profit of $78. The correct equation for total profit is $8(x - 2.75)=78$.
## Step3: Solve the correct equation
First, divide both sides of the equation $8(x - 2.75)=78$ by 8: $x - 2.75=\frac{78}{8}=9.75$. Then add 2.75 to both sides: $x=9.75 + 2.75=12.5$.
# Answer:
The equation should be $8(x - 2.75)=78$, and she needs to sell each necklace for $12.50$. So the answer is: The equation should be $8(x - 2.75)=78$, and she needs to sell each necklace for $\$12.50$.