How to solve the inequality arising in an arithmetic question?

Question

How to solve the inequality?

Given:

$S_K=3x $

$ S_S \ge 3x+20$

And we have the equation:

$300-3x=(S_S+S_K)*\frac{3}{2}$

Answer 1

HINT

From the given $S_K=3x$ we have

• $300-3x=(S_S+3x)\cdot\frac{3}{2}\implies200-2x=S_S+3x\implies S_S=200-5x$

then

• $S_S \ge 3x+20\implies 200-5x \ge3x+20$