Question

Hayden mixed 6 cups of blue paint with 8 cups of yellow paint to make green paint. To represent the relationship between the number of cups of blue paint,b, and the number of cups of yellow paint ,y, needed to make the same shade of green paint, Hayden wrote the equation b=blank(y). What number should be placed in the blank?

Answer 1

there is 6 cups of blue paint so, blue=6 and 8 cups of yellow paint so yellow=8
the equation is b=ky so you'd get

6=8k then, you rearrange the problem

k=6/8
and if you simplify you would get

k=3/4 so

b=(3/4)y

Answer 2

b=6 and y=8

b=ky using b and y from above we get:

6=8k so

k=6/8

k=3/4 so

b=(3/4)y or if you prefer

b=3y/4 or

b=0.75y

I don't know which form they gave you in the answer choices :)