Question

Robert mixed 113 liters of blue paint with 123 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 .

Answer 1

`Blue =1(3)/(5)`

Explanation:

Given

`Blue = 1(1)/(3)`

`Red = 1(2)/(3)`

Required

Determine the amount of blue paint when Red = 2

To do this, we make use of the following equivalent ratios

`Ratio = Blue : Red`

When
`Blue = 1(1)/(3)` and
`Red = 1(2)/(3)`

`Ratio = 1(1)/(3) : 1(2)/(3)`

When Red = 2

`Ratio = Blue : 2`

Equate both ratios

`Blue : 2 = 1(1)/(3) : 1(2)/(3)`

Convert to division

`(Blue)/(2) =1(1)/(3) / 1(2)/(3)`

Convert fractions to improper fraction

`(Blue)/(2) =(4)/(3) / (5)/(3)`

`(Blue)/(2) =(4)/(3) * (3)/(5)`

`(Blue)/(2) =(4)/(5)`

Make Blue the subject

`Blue =(4)/(5)*2`

`Blue =(8)/(5)`

`Blue =1(3)/(5)`