At a baseball game Gina purchased 6 hotdogs and 3 nachos for $24. Fred bought 8 hotdogs and 1 nacho for $23. How much is a hotdog?
1 Answer
Let the price of hotdogs be
Let the price of nachos be
For the first sentence, Gina bought
Let's simplify this by dividing both sides by
Fred bought
This is now a system of equations, were we can use both equations and solve.
There are a few ways of solving this: graphing, substitution, and elimination. I'm going to use substitution.
Since we want to know the price of a hotdog, let's find
If we put
and simplify...
Therefore, hotdogs are
Hope this helps!