Question

Hudson went into a restaurant and bought 8 hamburgers and 4 drinks, costing a total of $52. Levi went into the same restaurant and bought 5 hamburgers and 7 drinks, costing a total of $46. Write a system of equations that could be used to determine the price of each hamburger and the price of each drink. Define the variables that you use to write the system.

Answer 1

Answer:

The price of each hamburger is $5 and the price of each drink is $3

Step-by-step explanation:

Let

x ----> the price of each hamburger

y ---> the price of each drink

we know that

Hudson

$8x+4y=52$ ----> equation A

Levi

$5x+7y=46$ ----> equation B

Solve the system of equations by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is the point (5,3)

see the attached figure

therefore

The price of each hamburger is $5 and the price of each drink is $3

Answer 2

Answer:

Let h = the price of each hamburger

Let d = the price of each drink

8h+4d=52

5h+7d=46