Answer:
A movie ticket costs $9.
A snack costs $2.
Step-by-step explanation:
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:
<u>2m (movie ticket cost) + 3s (snack cost) = $24</u>
&
<u>3m (movie ticket cost) + 4s (snack cost) = $35</u>
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
+ <u>-6m + -8s = $-70</u>
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$.
