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 plus 10 x is equal to 36 x How many purses must she sell in order to break even?
At the break-even point, her total costs equal her revenue: 208 + 10x = 36x. Subtract 10x from both sides to get 208 = 26x, then divide by 26: x = 8. She must sell 8 purses to break even, which is choice D.
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