Answer: The equation is y = 0.6b or b = 1.667y
Step-by-step explanation: According to the question, y is for yellow and b is for blue.
We know that the proportion fo yellow paint needed for the mixture is 3l in a total of 8l. So:
y = [tex]\frac{3}{8}[/tex]
For blue paint, the proportion is 5l in 8l. So:
b = [tex]\frac{5}{8}[/tex]
Doing [tex]\frac{y}{b}[/tex] and isolating y, we have:
[tex]\frac{y}{b} =\frac{ \frac{3}{8}}{\frac{5}{8} }[/tex]
[tex]\frac{y}{b} = \frac{3}{8}.\frac{8}{5}[/tex]
[tex]\frac{y}{b} = \frac{3}{5}[/tex]
y = [tex]\frac{3}{5}b[/tex]
y = 0.6b
To know the proportionality of b over y:
[tex]\frac{y}{b} = \frac{3}{5}[/tex]
[tex]\frac{1}{b} = \frac{3}{5y}[/tex]
b = [tex]\frac{5}{3}y[/tex]
b = 1.67y
The equations that related yellow and blue paint are y=0.6b or b=1.67y.
