Answer:
[tex](800-x)\ rooms[/tex]
Step-by-step explanation:
Let
x ----> 3-room apartments
200-x ----> 4-room apartments
we know that
To find out how many rooms are there in the complex, sum the number of 3-room apartments multiplied by 3 plus the number of 4-room apartments multiplied by 4
so
[tex]3x+4(200-x)[/tex]
Apply distributive property
[tex]3x+800-4x[/tex]
Combine like terms
[tex](800-x)\ rooms[/tex]