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

Answer:

 $4x+6y=34\\\\4x+3y=25$

Step-by-step 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