Chapter 7.4, Problem 6P

Peacock Purple Paint is made by mixing red paint and blue paint in the ratio 3 to 7. Let R be an unspecified number of liters of red paint, which can vary, and let B be the corresponding number of liters of blue paint in Peacock Purple Paint. Reason about quantities and our definition of multiplication, and use math drawings to find and explain the following types of equations.

a. $c.R=B,$ where c is a suitable constant (which you should find).

b. $k.B=R,$ where k is a suitable constant (which you should find).

c. $\frac{1}{u}.R=\frac{1}{v}.B$ where $\frac{1}{u}$ and $\frac{1}{v}$ are suitable unit fractions.