Question

A mixture of paint is prepared by mixing $1$ part of red pigments with $8$ parts of base. In the following table, find the parts of base that need to be added

Parts of red pigment	$1$	$4$	$7$	$12$	$20$
Parts of base	$8$	$\cdots$	$\cdots$	$\cdots$	$\cdots$

Answer 1

While mixing, the ratio of pigment and base should be same

So we have red pigment to base ratio given as 1:8

For red pigment $=4$

Base $\Rightarrow \frac{1}{8}=\frac{4}{x}=32$

For red pigment $=7$

Base $\Rightarrow \frac{1}{8}=\frac{2}{x}=56$

For red pigment $=12$

Base $\Rightarrow \frac{1}{8}=\frac{12}{x}=96$

For red pigment $=20$

Base $\Rightarrow \frac{1}{8}=\frac{20}{x}=160$