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

Answer:

$Blue =1\frac{3}{5}$

Step-by-step explanation:

Given

$Blue = 1\frac{1}{3}$

$Red = 1\frac{2}{3}$

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  $Blue = 1\frac{1}{3}$ and  $Red = 1\frac{2}{3}$

$Ratio = 1\frac{1}{3} : 1\frac{2}{3}$

When Red = 2

$Ratio = Blue : 2$

Equate both ratios

$Blue : 2 = 1\frac{1}{3} : 1\frac{2}{3}$

Convert to division

$\frac{Blue}{2} =1\frac{1}{3} / 1\frac{2}{3}$

Convert fractions to improper fraction

$\frac{Blue}{2} =\frac{4}{3} / \frac{5}{3}$

$\frac{Blue}{2} =\frac{4}{3} * \frac{3}{5}$

$\frac{Blue}{2} =\frac{4}{5}$

Make Blue the subject

$Blue =\frac{4}{5}*2$

$Blue =\frac{8}{5}$

$Blue =1\frac{3}{5}$