Question

There are three blue seats for every two green seats in the cafeteria. If there are 80 total seats in the cafeteria, how many are blue?

Answer 1

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,

`G = (3)/(2)B` .....[1]

It is also given that if there are 80 total seats in the cafeteria.

then;

`G+B = 80` .....[2]

Substitute the equation [1] into [2] we get;

`(3)/(2)B+B = 80`

Combine like terms;

`(5)/(2)B = 80`

Multiply by 2/5 both sides we get;

`B = 80 * (2)/(5) = 16 * 2 = 32`

Therefore, there are 32 blue seats.