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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 .

Sagot :

MrRoyalidn

Answer:

[tex]Blue =1\frac{3}{5}[/tex]

Step-by-step explanation:

Given

[tex]Blue = 1\frac{1}{3}[/tex]

[tex]Red = 1\frac{2}{3}[/tex]

Required

Determine the amount of blue paint when Red = 2

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

[tex]Ratio = Blue : Red[/tex]

When  [tex]Blue = 1\frac{1}{3}[/tex] and  [tex]Red = 1\frac{2}{3}[/tex]

[tex]Ratio = 1\frac{1}{3} : 1\frac{2}{3}[/tex]

When Red = 2

[tex]Ratio = Blue : 2[/tex]

Equate both ratios

[tex]Blue : 2 = 1\frac{1}{3} : 1\frac{2}{3}[/tex]

Convert to division

[tex]\frac{Blue}{2} =1\frac{1}{3} / 1\frac{2}{3}[/tex]

Convert fractions to improper fraction

[tex]\frac{Blue}{2} =\frac{4}{3} / \frac{5}{3}[/tex]

[tex]\frac{Blue}{2} =\frac{4}{3} * \frac{3}{5}[/tex]

[tex]\frac{Blue}{2} =\frac{4}{5}[/tex]

Make Blue the subject

[tex]Blue =\frac{4}{5}*2[/tex]

[tex]Blue =\frac{8}{5}[/tex]

[tex]Blue =1\frac{3}{5}[/tex]

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