Systems of Linear Equations Word Problems - Practice

After successfully figuring out how to clone dinosaurs, you and your colleagues decide to build a theme park in order to show them off to the public (sounds like a perfectly safe idea). You decide to charge $\$16.25$ for a child's ticket and $\$28.75$ for an adult's ticket. On opening day, you receive $\$2,125,000$ in ticket sales alone. Furthermore, your staff estimates that there's $100,000$ guests in the park. What is the ratio of adults to kids?