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State A and state B are among the states with the most remaining​ drive-in movie screens. State A has 3 more screens than state​ B, and there are 51 screens total in the two states. How many​ drive-in movie screens remain in each​ state?
The number of​ drive-in movie screens remaining in state A is
nothing​, and those remaining in state B is
nothing.
​(Simplify your​ answers.)
Enter your answer in each of the answer boxes.

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The number of drive in movie screens remaining in state A is 27.

The number of drive in movie screens remaining in state B is 24.

Step-by-step explanation:

Given,

Total remaining screens = 51

Let,

Number of remaining screens in state A = x

Number of remaining screens in state B = y

According to given statement;

x+y=51     Eqn 1

x = y+3    Eqn 2

Putting value of x from Eqn 2 in Eqn 1

[tex](y+3)+y=51\\y+3+y=51\\2y=51-3\\2y=48[/tex]

Dividing both sides by 2

[tex]\frac{2y}{2}=\frac{48}{2}\\y=24[/tex]

Putting y=24 in Eqn 2

[tex]x=24+3\\x=27[/tex]

The number of drive in movie screens remaining in state A is 27.

The number of drive in movie screens remaining in state B is 24.

Keywords: linear equation, substitution method

Learn more about substitution method at:

  • brainly.com/question/12896802
  • brainly.com/question/12973601

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