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.\n208 + 10x = 36x\nhow many purses must she sell in order to break even?\n5\n6\n7\n8
Answer
Explanation:
Step1: Move terms with x to one - side
Subtract (10x) from both sides of the equation (208 + 10x=36x). We get (208=36x - 10x).
Step2: Simplify the right - hand side
Combine like terms: (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}). Since (\frac{208}{26}=8).
Answer:
D. 8