Answer:
Hence, the expression that relates b and y is:
[tex]y=\dfrac{3}{5}b[/tex]
Step-by-step explanation:
It is given that:
The Green Goober, a wildly unpopular superhero, mixes 3 liters of yellow paint with 5 liters of blue paint to make 8 liters of special green paint for his costume.
i.e. the proportion of yellow paint used = [tex]\dfrac{3}{8}[/tex]
and proportion of blue paint used = [tex]\dfrac{5}{8}[/tex].
Let 'x' be the total mixture formed.
The amount of yellow paint(y)= [tex]\dfrac{3}{8}\times x[/tex]
i.e. [tex]x=\dfrac{8}{3}y[/tex]
and amount of blue paint(b)= [tex]\dfrac{5}{8}\times x[/tex]
i.e. [tex]x=\dfrac{8}{5}b[/tex].
Hence we can equate x from both the equation to obtain:
[tex]\dfrac{8}{3}y=\dfrac{8}{5}b\\\\\dfrac{1}{3}y=\dfrac{1}{5}b\\\\\\5y=3b\\\\\\y=\dfrac{3}{5}b[/tex]
Hence, equation that relates the amounts (in liters) of yellow paint (y) and blue paint (b) needed to make the Green Goober's special green paint is:
[tex]y=\dfrac{3}{5}b[/tex]
