Answer to Question #299249 in Algebra for Philly

Question

Delisile spends 30% if her income on rent and 50% of the remaining on food and travelling. She pays R2 200,00 per month for education and now has R3 120,00 left. Her monthly income is?

Answer 1

Solution:

Let her monthly income be $R\ x$.

Amount spent on rent $=0.3x$

Amount remaining after rent$=0.7x$

Amount spent on food and travelling$=0.5\times0.7x=0.35x$

R 2200 per month for education

Then, $0.35x-2200=3120$

$\Rightarrow 0.35x=2200+3120 \\\Rightarrow 0.35x=5320 \\\Rightarrow x=15200$

So, her monthly income is R 15200.