Question

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 minus 2.75) = 78.
The equation should be 8 (x minus 2.75) = 78, and she needs to sell each necklace for $12.50.
The equation should be StartFraction 1 over 8 EndFraction (x minus 2.75) = 78, and she needs to sell each necklace for $75.25.

Answer 1

Answer: c

Explanation:

Answer 2

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Answer:

The equation should be 8 (x minus 2.75) = 78, and she needs to sell each necklace for $12.50.

Explanation:

The contribution margin of each necklace is the difference between its selling price (x) and its cost (2.75). Then the total profit from 8 necklaces would be ...

8(x -2.75)

If Rita wants that profit to be $78, then she needs to solve the equation ...

8(x -2.75) = 78 . . . . correct equation

The solution is ...

x -2.75 = 9.75 . . . . divide by 8

x = 12.50 . . . . . . . . add 2.75

She needs to sell each necklace for $12.50.