Answer:
The ratio of blue paint to yellow paint is 3:1
Step-by-step explanation:
Let
x -----> the amount of blue paint in ounces
y ----> the amount of yellow paint in ounces
we know that
x+y=8 -----> equation A
x=3y -----> equation B
Solve the system by substitution
Substitute equation B in equation A
[tex]3y+y=8\\4y=8\\y=2[/tex]
Find the value of x
[tex]x=3(2)=6[/tex]
therefore
The amount of blue paint is 6 ounces and the amount of yellow paint is 2 ounces
Find the ratio
To find out the ratio of blue paint to yellow paint, divide the amount of blue paint by the amount of yellow paint
so
[tex]\frac{x}{y}=\frac{6}{2}=\frac{3}{1}[/tex]
That means -----> Of every 4 parts of paint, three parts are blue and one part is yellow.
see the diagram in the attached figure to better understand the problem
