Answer:
Let G represents the green seats and B represents the Blue seats.
As per the statement:
There are three blue seats for every two green seats in the cafeteria.
⇒ for every two green seats, there are three blue seats.
then;
For every 1 green seats, there are 3/2 blue seats
i.e,
[tex]G = \frac{3}{2}B[/tex] .....[1]
It is also given that if there are 80 total seats in the cafeteria.
then;
[tex]G+B = 80[/tex] .....[2]
Substitute the equation [1] into [2] we get;
[tex]\frac{3}{2}B+B = 80[/tex]
Combine like terms;
[tex]\frac{5}{2}B = 80[/tex]
Multiply by 2/5 both sides we get;
[tex]B = 80 \times \frac{2}{5} = 16 \times 2 = 32[/tex]
Therefore, there are 32 blue seats.
