Answer:
$40
Step-by-step explanation:
If it was 20% off, you are paying 80% of the original price.
So .80 * Original price = $32
32/.8 = 40
B, C, and D. you name a triangle with the corners, not the sides.
Let's make p stand for popcorn and d for drinks. Using those variables, we can create our equations:
2p + 3d = 18.25
4p + 2d = 27.50
From this, we can use substitution or elimination to solve:
For substitution, in the second equations, we could factor out a 2, divide both sides by 2, and then move the left over 2p to the other side to isolate d to put into the first equation.
For elimination, we can multiply the first equation by -2 so that we can remove the 4p and focus on solving for d.
I'll be using elimination in this case:
-2(2p + 3d = 18.25) --> -4p - 6d = -36.50
-4p - 6d = -36.50
4p + 2d = 27.50
-4d = -9.00
d = 2.25
4p + 2 * 2.25 = 27.50
4p + 4.50 = 27.50
4p = 23.00
p = 5.75
Now let's check our answer:
2 * 5.75 + 3 * 2.25 = 18.25
11.50 + 6.75 = 18.25
18.25 = 18.25
So drinks cost $2.25 and popcorn $5.75
Let's plug the values and see which couple satisfy the equation: since 
, if we plug the values from the first option 
we have
which is correct.
If we plug the values from the second option 
we have
which is not correct
If we plug the values from the third option 
we have
which is not correct
If we plug the values from the fourth option 
we have
which is not correct
So, the answer is the first one.
