Answer:
The ratio of blue paint to yellow paint is 3:1
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
![3y+y=8\\4y=8\\y=2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/qpofsq1asozg81ffskkk93oha1zk1bfyti.png)
Find the value of x
![x=3(2)=6](https://img.qammunity.org/2020/formulas/mathematics/middle-school/iyzni4z43apulqn5veycdc7mrelk0ksvuh.png)
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
![(x)/(y)=(6)/(2)=(3)/(1)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/r8now6uj45wzkz3opbluxnpcpfmiwzzjgd.png)
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