# A salesperson earns $50 a day plus 12% commission on sales over$200. If her daily earnings are $76.88, how much money in merchandise did she sell? Algebra foundations ANSWERED asked 2021-02-10 A salesperson earns$50 a day plus 12% commission on sales over $200. If her daily earnings are$76.88, how much money in merchandise did she sell?
Let x be the amount the salesperson sells in merchandise so that her commission is 0.12x. Her earning a day plus the commission is equal to $76.88 so the equation is: $$\displaystyle{50}+{0.12}{x}={76.88}$$ Subtract 50 from both sides: $$\displaystyle{0.12}{x}={26.88}$$ Divide both sides by 0.12: $$\displaystyle{x}=\frac{{26.88}}{{0.12}}$$ $$\displaystyle{x}={224}$$ So, the salesperson sold an amount of$224 in merchandise.