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34 votes
Pablo mixes 3 units of white paint and 1 unit of black oaint to make gray paint. What two equations show the relationship between units of white paint and unites of black paint

User Mihai Dinculescu
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1 Answer

18 votes
18 votes
Explanation:
Represent white paint with w and black with b
Given
When w=3;b=1
Required
Determine the two equations
To get a gray paint, the w and b are needed in the following proportion:
3 * 1 = 1 * h
-=---(1)
Solve for b
3 * w =b
Reorder h= 3 * W
b=3w
-…~- This is an equation

To get another equation,

3 * W = 1 * b
Solve for w
3 * 10 = 6
3w = b
Make w the subject

w = =1/3b

Hence, the equations that show the relationship between w and b are:
w = =1/3b
and b= 3w
MrRoyal • Quality
User Gate
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2.9k points