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

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

Answer 2

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.