Question

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?

Answer 1

Let x = income
Then:
Rent:
`(2)/(5) x`
Utilities:
`(1)/(5) x`
Food and Recreation:
`(3)/(4)(x-( (2)/(5) x+(1)/(5) x))= (3)/(10) x`

Now adding all the expenses:
`(2)/(5) x+ (1)/(5) x+ (3)/(10) x= (9)/(10) x`
We see that the expenses are 90% of the income, so the savings must be 10% of the income.

`(1)/(10) x=193.5`
x=1935.0 this is your income
Hope this helps...