Answer:
State A has 27 screens and state B has 21 screens.
Explanation:
Let the number of screens in state B be 'x'.
Given:
Number of screens in state A is 6 more than state B
Total number of screens = 48.
Now, as per question:
Number of screens in state A = 6 more than state B.
Framing in equation form, we get:
Number of screens in state A =
![6+x](https://img.qammunity.org/2021/formulas/mathematics/middle-school/neo4w7mgqi01wlmeyt0c4yoys5clyqpyf7.png)
Now, total number of screens is the sum of the screens in state A and number of screens in state B. Therefore,
Total number of screens = 48
Number of screens in state A + Number of screens in state B = 48
Substituting the given values, we get:
![6+x+x=48\\\\6+2x=48\\\\2x=48-6\\\\2x=42\\\\x=(42)/(2)=21](https://img.qammunity.org/2021/formulas/mathematics/high-school/7fu50vexfd6nuwe7rz1a2n8sdid10qm7lp.png)
So, state B has 21 screens.
State A has = 6 + 21 = 27 screens.
Therefore, state A has 27 screens and state B has 21 screens.