Question

At the football game, 4 hamburgers and 6 soft drinks cost $34, and 4 hamburgers and 3 soft drinks cost $25. Which two equations can be used to determine the price of a hamburger and the price of a soft drink? Let x represent the cost of a hamburger and y represent the cost of a soft drink.

Answer 1

`4x+6y=34\\\\4x+3y=25`

Explanation:

Let be "x" the cost in dollars of a hamburger and "y" the cost in dollars of a soft drink.

The cost of 4 hamburguers can be represented with this expression:

`4x`

And the cost of 6 soft drinks can be represented with this expression:

`6y`

Since the total cost for 4 hamburgers and 6 soft drinks is $34, you can write the following equation:

`4x+6y=34` [Equation 1]

The following expression represents the the cost of 3 soft drinks:

`3y`

According to the information given in the exercise, the total cost for 4 hamburgers and 3 soft drinks is $25. Then, the equation that represents this is:

`4x+3y=25` [Equation 2]

Therefore, the Equation 1 and the Equation 2 can be used to determine the price of a hamburger and the price of a soft drink