Question 22
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?