1960 AHSME Problem 29

Five times A's money added to B's money is more than \$51.00. Three times A's money minus B's money is \$21.00. If a represents A's money in dollars and b represents B's money in dollars, then:

\textbf{(A)}\ a>9, b>6 \qquad \textbf{(B)}\ a>9, b<6 \qquad \textbf{(C)}\ a>9, b=6\qquad \textbf{(D)}\ a>9, \text{but we can put no bounds on} \text{ } b\qquad \textbf{(E)}\ 2a=3b

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