Question

"State A and state B are among the states with the most remaining​ drive-in movie screens. State A has 5 more screens than state​ B, and there are 55 screens total in the two states. How many​ drive-in movie screens remain in each​ state?"

Answer 1

30 and 25

Explanation:

To solve this, let's create a mathematical equation from it.

Let A represent State A, and B represent State B.

If state A has 5 more screens than state B, we can express this mathematically as

A = 5 + B

Again, there are 55 screens in total between the two states, so we say

A + B = 55

Now, from the 2 equations we have created, we solve simultaneously.

Since A = 5 + B, we put this in the second equation

(5 + B) + B = 55

5 + 2B = 55

2B = 55 - 5

2B = 50

B = 50/2

B = 25

With B being 25, we can find A as

A = 25 + 5

A = 30

Therefore, state A has 30 screens, and state B has 25 screens