Question

At the football game, 3 hamburgers and 6 soft drinks cost $27, and 3 hamburgers and 3 soft drinks cost $18. 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

3x + 6y = 27

3x + 3y = 18

x = $3, y = $3

Explanation:

I will solve by using the elimination method.

3x + 6y = 27

3x + 3y = 18

Subtract top equation by bottom.

3x + 6y = 27

- (3x + 3y = 18)

_____________

0 + 3y = 9

3y = 9

y = 3

Plug y in for three

3x + 6*3 = 27

3x + 18 = 27

3x = 9

x = 3

So, your solution is x = $3, y = $3

Answer 2

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:

4x4x

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

6y6y

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

4x+6y=344x+6y=34 [Equation 1]

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

3y3y

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=254x+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