Question

Art paid $8. 50 to buy 2 large sodas and 1 hamburger. Nila paid $27. 00 to buy 4 large sodas and 4 hamburgers. If both people paid the same price per item, what was the price of a hamburger?.

Answer 1

The price of the hamburger is $5

Step-by-step explanation:

4x + 4(8.50 - 2x) = 27

4x + 34 - 8x = 27

34 - 4x = 27

4x = 34 - 27

4x = 7

x = 7/4

To find y; let's replace the value of x into equation (1)

2(x) + y = 8.50

2(7/4) + y = 8.50

3.50 + y = 8.50

y = 8.50 -3.50

y = 5

Therefore, we can conclude that the price of the hamburger is $5