Question

Christopher went into a restaurant and bought 5 hamburgers and 10 drinks, costing a total of $52.50. Wyatt went into the same restaurant and bought 2 hamburgers and 9 drinks, costing a total of $31. 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

Explanation:

Let the price of each hamburger be a and the price of drink each be b.

5a+10b=52.50

2a+9b=31

5a+10b=52.50

a=10.5-b

2(10.5-b)+9b=31

7b=10.5

b=1.5

a=10.5-1.5

a.9

∴The price of each hamburger is $9 and the price of each drink is $1.5