Question

Shirabi spent $208 on a sewing machine to make purses. She spends a total of $10 on thread, fabric, and accessories for each purse and plans to charge $36 for each purse. The equation represents her break-even point, when x represents the number of purses sold.

208 + 10x = 36x

How many purses must she sell in order to break even?

A. 5
B. 6
C. 7
D. 8

Answer 1

The correct answer is: Option D: 8

Explanation:

Given that she spent $208 on the sewing machines

And

the equation for profits to break even is:

208 + 10x = 36x

In order to find the number of purses to break even, we have to find the value of x

So,

`208+10x=36x`

Subtracting 10x from both sides

`208+10x-10x = 36x-10x\\208 = 26x`

Dividing both sides by 26

`(208)/(26) = (26x)/(26)\\x = 8`

The number of purses is 8

Hence,

The correct answer is: Option D: 8