2016 AMC 10A Problem 3

For every dollar Ben spent on bagels, David spent 25 cents less. Ben paid \$12.50 more than David. How much did they spend in the bagel store together?

\textbf{(A)}\ 37.50 \qquad\textbf{(B)}\ 50.00\qquad\textbf{(C)}\ 87.50\qquad\textbf{(D)}\ 90.00\qquad\textbf{(E)}\ 92.50$

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.