Answer:
State A has 27 screens and state B has 21 screens.
Step-by-step 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 = [tex]6+x[/tex]
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:
[tex]6+x+x=48\\\\6+2x=48\\\\2x=48-6\\\\2x=42\\\\x=\frac{42}{2}=21[/tex]
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.
