lean_workbook_plus_63317

Originally, each person had to pay \\frac{900}{x}$(x is the number of people). Then, five people left, so each person then had to pay$$\frac{900}{x-5}$. We are given that$$\frac{900}{x-5}$is 2.5 greater than$$\frac{900}{x}$. So,$\frac{900}{x}=\frac{900}{x-5}-2.5$. Solving, we get$x=-40,45$, but we want the positive, so$x=45$. Since we want the number of people, and$x$is the number of people, we find that the number of people that had to share the price was$\boxed{45}$