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?

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,

                 .....[1]

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

then;

                          .....[2]

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

Combine like terms;

Multiply by 2/5 both sides we get;

Therefore, there are 32 blue seats.

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.