Question

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?

Answer 1

Answer:

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

Step-by-step 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.

Answer 2

Answer:

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