Question

Indigo and her children went into a restaurant and she bought $42 worth of

hamburgers and drinks. Each hamburger costs $5. 50 and each drink costs $2. 25. She

bought a total of 10 hamburgers and drinks altogether. Write a system of equations

that could be used to determine the number of hamburgers and the number of drinks

that Indigo bought. Define the variables that you use to write the system

Answer 1

x+y=10

2.25x+5.50y=42

Extra: 6 hamburgers and 4 drinks

Explanation:

x+y=10

2.25x+5.50y=42

x would stand for the drinks and y would stand for the hamburger

I do not know if you want me to solve it or not, but I might as well do so.

To solve it, you could multiply the first equation by 2.25 to get:

2.25x+2.25y=22.5

2.25x+5.50y=42

Now, if you subtract the two systems of equations, you get 3.25y=19.5, where y is equal to 6.

When you plug in 6 for y in the first equation, you should find that x is equal to 4.

In conclusion, Indigo ordered 6 hamburgers and 4 drinks.