Question

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

Answer 1

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

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.

Check the image below:

Answer 2

Sara should sell each bracelet at $8.50 to make a profit of $99.

Explanation:

We are given the following:

Total cost = $28.50

Total bracelets to be made = 15

Total profit to be made = $99

Let
`x` be the price at which Sara sells each bracelet to make a profit of $99.

`\text{Total sales done = Number of bracelets sold }* \text{ Sales price of each bracelet}\\`

`\Rightarrow 15 * x ...... (1)`

Also,

`\text{Total sales price = Total Cost}+ \text{Total Profit} \\`

`\Rightarrow \$28.50 + \$99 ....... (2)`

Equating (1) and (2):

`\Rightarrow 28.50 + 99 = 15x\\\Rightarrow x = (127.5)/(15)\\\Rightarrow x = $8.50`

Sara should sell each bracelet at $8.50 to make a profit of $99.