Art paid $8.50 to buy 2 large sodas and 1 hamburger. Nila paid $27.00 to buy 4 large sodas and 4 hamburgers. What is the price of the hamburger?

2 large sodas and 1 hamburger = $8.50 ----------------- (1)
4 large sodas and 4 hamburgers = $27.00  ------------- (2)

(1) x 2 :
4 large sodas and 2 hamburgers = $17.00    ------------- (1a)

(2) - (1a):
2 hamburgers = $10.00
1 hamburger =$5.00 

Answer: $5.00