Question

Sara makes and sells bracelets. She bought material for $28.50 and used it all to make 15 bracelets. Sara used the equation 15x-28.50=99 to determine x, the amount she should charge for each bracelet to make a profit of $99. How much should each bracelet cost?
a. $4.70
b. $6.60
c. $8.50
d. $13.75

Answer 1

Answer:  The cost of each bracelet is (c) $8.50.

Step-by-step explanation:  Given that Sara bought material for $28.50 and used it all to make 15 bracelets. Sara used the equation 15x-28.50=99 to determine 'x' - the amount she should charge for each bracelet to make a profit of $99.

We are to find the price that each bracelet cost.

We will be solving the given equation which involves 'x' as unknown variable to find its value.

The solution is as follows:

$15x-28.50=99\\\\\Rightarrow 15x=99+28.50\\\\\Rightarrow 15x=127.50\\\\\Rightarrow x=\dfrac{127.50}{15}\\\\\Rightarrow x=8.50.$

So, each bracelet cost $8.50.

Thus, (c) is the correct option.

Answer 2

Each bracelet should cost $8.50. Replace x with 8.50, 15(8.50)-28.50=99