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Carolyn makes and sells necklaces. The material to make each necklace costs $3.20. Last week she made 12 necklaces and wants to make a total profit of $54. Using the equation 12(x-3.20)=54,Carolyn determined that she will make a profit of $7.70 on each necklace. Which error did Carolyn make?

User Chef Mike
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2 Answers

7 votes

Answer:

The solution means that she should charge $7.70 for each necklace so she can reach her goal.

User Ben Chambers
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8.0k points
7 votes

Answer:

Carolyn's mistake was confusing the selling price of the necklaces with the profit.

Explanation:

Let

x-------> the selling price of each necklace

we know that

The linear equation that represent the situation is equal to


12(x-3.20)=54

solve for x


(x-3.20)=54/12


x=4.5+3.20=\$7.70

The profit on each necklace is equal to


\$7.70-\$3.20=\$4.5

therefore

Carolyn's mistake was confusing the selling price of the necklaces with the profit.

User Paolobueno
by
8.1k points
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