Answer:
The red paint is used is 3 liters
Step-by-step explanation:
Ratio states that how two numbers compare.
Ratio is a comparison of the size of one number to the size of another number.
i.e, a to b means a:b
Given the ratio of paint red(r) and paint blue(b)
i.e,
by the definition of ratio:
r:b = 2:4
Let the number be x
then,
The quantity of red paint used be 2x and the quantity of blue paint used be 4x
It is given that the 6 liters of blue paint is used.
then;
4x =6
Divide both sides by 4 we get;
[tex]\frac{4x}{4} =\frac{6}{4}[/tex]
Simplify:
[tex]x = \frac{3}{2}[/tex]
then the red paint used is 2x = [tex]2 \times \frac{3}{2} =3[/tex] liters
Therefore, the red paint is used is 3 liters.