1956 AHSME Problem 28

Mr. J left his entire estate to his wife, his daughter, his son, and the cook. His daughter and son got half the estate, sharing in the ratio of 4 to 3. His wife got twice as much as the son. If the cook received a bequest of \${500}, then the entire estate was:

\textbf{(A)}\ \${3500}\qquad \textbf{(B)}\ \${5500}\qquad \textbf{(C)}\ \${6500}\qquad \textbf{(D)}\ \${7000}\qquad \textbf{(E)}\ \${7500}

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