Ramon spends 2/5 of his monthly income on rent ,1/5 of his income on utilities and 3/4 of the amount remaining on food and recreation.He saves 193.50 a month,What is Ramon’s monthly income?

Respuesta :

Let x = income
Then: 
Rent: [tex] \frac{2}{5} x[/tex]
Utilities:  [tex] \frac{1}{5} x[/tex]
Food and Recreation:  [tex] \frac{3}{4}(x-( \frac{2}{5} x+\frac{1}{5} x))= \frac{3}{10} x[/tex]

Now adding all the expenses: [tex] \frac{2}{5} x+ \frac{1}{5} x+ \frac{3}{10} x= \frac{9}{10} x[/tex]
We see that the expenses are 90% of the income, so the savings must be 10% of the income.
[tex] \frac{1}{10} x=193.5[/tex]
x=1935.0  this is your income  
Hope this helps...