Respuesta :

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.

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