Robert mixed 1 1 3 liters of blue paint with 1 2 3 liters of red paint to make 3 liters of purple paint. To make a new batch of purple paint he used 2 liters of red paint. Using the same ratio, Robert should use Response area liters of blue paint .

The amount of blue paint used is  liters and this can be determined by using the arithmetic operations.

Given :

Amount of Blue Paint = 4/3 liters

Amount of Red Paint = 5/3 liters

Now, the ratio of blue paint to red paint is given by:

Now, assume that the amount of blue paint that is used with 2 liters of red paint is 'a'. Then it is given that using the same ratio, Robert should use response area liters of blue paint, that is:

Therefore, it will be said that liters of blue paint is used.

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Hence, liters of blue paint have been used.

Step-by-step explanation:

Given: Robert mixed liters of blue paint with liters of red paint to make 3 liters of purple paint.

Ratio of blue paint to red paint =

let x be the quantity of blue paint used with 2 liters of red paint..

Then

Hence, liters of blue paint have been used.

answer4 to the second power is 16

and 4 to the third power is 64,