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?\n\no although she has the correct equation, she needs to sell each necklace for $12.50.\no although she has the correct solution, she should have used the equation 8(x - 2.75)=78.\no the equation should be 8(x - 2.75)=78, and she needs to sell each necklace for $12.50.\no the equation should be $\frac{1}{8}(x - 2.75)=78$, 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?\n\no although she has the correct equation, she needs to sell each necklace for $12.50.\no although she has the correct solution, she should have used the equation 8(x - 2.75)=78.\no the equation should be 8(x - 2.75)=78, and she needs to sell each necklace for $12.50.\no the equation should be $\frac{1}{8}(x - 2.75)=78$, and she needs to sell each necklace for $75.25.

Answer

Explanation:

Step1: Define profit formula

Profit per - necklace is selling price minus cost price. Let the selling price of each necklace be $x$. The cost price of each necklace is $2.75$. The number of necklaces is 8, and the total profit is 78. The correct equation for total profit is $8(x - 2.75)=78$.

Step2: Solve the correct equation for $x$

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 of the equation: $x=9.75 + 2.75=12.5$.

Answer:

The equation should be $8(x - 2.75)=78$, and she needs to sell each necklace for $$12.50$. So the correct option is: The equation should be $8(x - 2.75)=78$, and she needs to sell each necklace for $$12.50$.