The are 27 remaining drive-in screens in state A and 24 drive-in screens in state B.
Step-by-step explanation:
Given,
Total number of remaining drive-in screens in both states = 51
Let,
A be the number of drive-in screens remaining in state A.
B be the number of drive-in screens remaining in state B.
According to given statement;
A+B=51 Eqn 1
A=B+3 Eqn 2
We will put value of A from Eqn 2 in Eqn 1
[tex](B+3)+B=51\\B+3+B=51\\2B=51-3\\2B=48[/tex]
Dividing both sides by 2
[tex]\frac{2B}{2}=\frac{48}{2}\\B=24[/tex]
Putting B=24 in Eqn 2
[tex]B=24+3\\B=27[/tex]
The are 27 remaining drive-in screens in state A and 24 drive-in screens in state B.
Keywords: linear equation, division
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The number of drive-in movie screens remaining in state A is
27, and those remaining in state B is 24.
The equation that can be used to represent the total number of drive-in screens in both states is:
Total number of drive-in screens = total number of drive-in screens in state A + total number of drive-in screens in state B
51 = 3 + x + x
Where x is the total number of drive-in screens in state B
In order to determine the value of x, take the following steps:
Combine similar terms
51 - 3 = x + x
Add similar terms
48 = 2x
Divide both sides of the equation by 2
x = 24
Number of drive-in screens in State A = 24 = 3 = 27
To learn more about addition, please check: https://brainly.com/question/19628082
