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.
To write a system of equations that can be used to determine the price of each hamburger and each drink, we need to define variables for the prices of hamburgers and drinks.
Let's assume the price of each hamburger is represented by 'h' and the price of each drink is represented by 'd'.
Based on the given information, we can set up two equations:
1) For Hudson:
8h + 4d = 52
2) For Levi:
5h + 7d = 46
Therefore, the system of equations would be:
8h + 4d = 52
5h + 7d = 46
8h + 4d = 52 , simplify to 2h + d = 13
5h + 7d = 46
2h + d = 13
5h + 7d = 46
My definition of variables should be obvious