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?

Answer 1

208 + 10x = 36x
208 = 36x - 10x
208 = 26x
208/26 = x
8 = x......so she must sell 8 purses to break even

Answer 2

8 purses

Explanation:

the equation represents the breakeven point and x the number of purses that must be sold

So in order to solve the equilibrium point we must find out the value of x

to find out the value we must clear it from the equation

`208+10x=36x\\208= 36x-10x\\ 208= 26x\\(208)/(26)= x\\ 8=x`

To reach the breakeven point you must sell 8 purses