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?

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

solve for x

The profit on each necklace is equal to

therefore

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

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.