Two movie tickets and 3 snacks are $24. Three movie tickets and 4 snacks are $35 how much is a movie ticket and how much is a

So the word problem is asking us to find the cost of a movie ticket and a snack, therefore we will label the cost of a movie ticket as "m" and the cost of a snack as "s".

In the word problem we are given two equations:

2m (movie ticket cost) + 3s (snack cost) = $24

&

3m (movie ticket cost) + 4s (snack cost) = $35

To figure out the cost of a snack we need to get the variables in both equations to be "opposites", so we use substitution.

We multiply everything in the first equation by 3 which gives us:

6m + 9s = $72

And in order to make the other equation the opposite we multiply everything in the second equation by -2 giving us:

-6m + -8s = $-70

Now we add both equations since the variables for m are opposites.

6m + 9s = $72

+ -6m + -8s = $-70

s = $2

Now we put s back into one of our original equations and to do that I am going to use 2m + 3s = $24

2m + 3s (2) = $24 ----> 2m + 6 = $24

Now, in order to get the value of m, we need to get rid of the 6 by subtracting 6 from both sides of the equation.

2m= $18

Now we divide by 2 on both sides to get m by its self.

m= $9

And to check to make sure we are right:

2m (9) + 3s (2) = $24

$18 + $6 = $24 (true)

A movie ticket costs 9$ and a snack costs 2$.