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?
A. Although she has the correct equation, she needs to sell each necklace for $12.50.
B. Although she has the correct solution, she should have used the equation 8 (x minus 2.75) = 78.
C. The equation should be 8 (x minus 2.75) = 78, and she needs to sell each necklace for $12.50.
D .The equation should be StartFraction 1 over 8 EndFraction (x minus 2.75) = 78, and she needs to sell each necklace for $75.25.
Answers
Answer:
Rita needs to sell each necklace for $12.50 to make a total profit of $78. The correct answer is C.
Step-by-step explanation:
Rita made an error in her calculation. The correct equation to use is:
8(x - 2.75) = 78
This is because she wants to determine the selling price of each necklace, which is represented by "x," and she needs to subtract the cost of materials ($2.75) from the selling price to determine her profit.
Solving for x, we get:
8(x - 2.75) = 78
8x - 22 = 78
8x = 100
x = 12.50
Therefore, Rita needs to sell each necklace for $12.50 to make a total profit of $78. The correct answer is C.
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