rita makes and sells necklaces. the materials to make each necklace cost $2.75. last week she made 8…

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? although she has the correct equation, she needs to sell each necklace for $12.50. although she has the correct solution, she should have used the equation 8(x - 2.75)=78. the equation should be 8(x - 2.75)=78, and she needs to sell each necklace for $12.50. the equation should be 1/8(x - 2.75)=78, and she needs to sell each necklace for $75.25.

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? although she has the correct equation, she needs to sell each necklace for $12.50. although she has the correct solution, she should have used the equation 8(x - 2.75)=78. the equation should be 8(x - 2.75)=78, and she needs to sell each necklace for $12.50. the equation should be 1/8(x - 2.75)=78, and she needs to sell each necklace for $75.25.

Answer

Explanation:

Step1: Recall profit - cost formula

Profit per item = Selling price per item - Cost per item. Total profit = Number of items×Profit per item. Let the selling price of each necklace be $x$. The cost of each necklace is $2.75$. The number of necklaces is 8 and the total profit is 78. So the correct equation is $8(x - 2.75)=78$.

Step2: 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$.