shirabi spent $208 on a sewing machine to make purses. she spends a total of $10 on thread, fabric, and…

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? o 5 o 6 o 7 o 8

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? o 5 o 6 o 7 o 8

Answer

Explanation:

Step1: Rearrange the equation

Subtract $10x$ from both sides of $208 + 10x=36x$. We get $208=36x - 10x$.

Step2: Simplify the right - hand side

$36x-10x = 26x$, so the equation becomes $208 = 26x$.

Step3: Solve for x

Divide both sides of the equation by 26: $x=\frac{208}{26}$. $x = 8$.

Answer:

D. 8