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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 .

User Darrel
by
7.5k points

1 Answer

5 votes

Answer:


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)

User Thomas Glick
by
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