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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?

Respuesta :

calculista

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

[tex]12(x-3.20)=54[/tex]

solve for x

[tex](x-3.20)=54/12[/tex]

[tex]x=4.5+3.20=\$7.70[/tex]

The profit on each necklace is equal to

[tex]\$7.70-\$3.20=\$4.5[/tex]

therefore

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

jasminc1218

Answer:

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