Ashley, Betty, Carlos, Dick, and Elgin went shopping. Each had a whole number of dollars to spend, and together they had $56. The absolute difference between the amounts Ashley and Betty had to spend was $19. The absolute difference between the amounts Betty and Carlos had was $7, between Carlos and Dick was $5, between Dick and Elgin was $4, and between Elgin and Ashley was $11. How much did Elgin have?
<spanclass=′latex−bold′>(A)</span>$6<spanclass=′latex−bold′>(B)</span>$7<spanclass=′latex−bold′>(C)</span>$8<spanclass=′latex−bold′>(D)</span>$9<spanclass=′latex−bold′>(E)</span>$10