Answer:
[tex]w = \frac{1}{3}b[/tex] and [tex]b = 3w[/tex]
Step-by-step 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:
[tex]3 * w = 1 * b[/tex] -----(1)
Solve for b
[tex]3 * w = b[/tex]
Reorder
[tex]b = 3 * w[/tex]
[tex]b = 3w[/tex] ---- This is an equation
To get another equation,
Recall that
[tex]3 * w = 1 * b[/tex]
Solve for w
[tex]3*w = b[/tex]
[tex]3w = b[/tex]
Make w the subject
[tex]w = \frac{1}{3}b[/tex]
Hence, the equations that show the relationship between w and b are:
[tex]w = \frac{1}{3}b[/tex] and [tex]b = 3w[/tex]
