SOLUTION: Out of a salary of $4500, I kept 1/3 as savings. Out of the remaining money, I spend 50 % on food and 20 % on house rent. How much do I spend on food and house rent?

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Question 1184327: Out of a salary of $4500, I kept 1/3 as savings. Out of the remaining money, I spend 50 % on food and 20 % on house rent. How much do I spend on food and house rent?
Found 3 solutions by Boreal, MathTherapy, ikleyn:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
1/3 of $4500=$1500.
So you have $1500 to spend.
Half on food is $1500*1/2=$750
20% on rent is $300.
The sum of those is $1050, which is 70% or $1500.

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!

Out of a salary of $4500, I kept 1/3 as savings. Out of the remaining money, I spend 50 % on food and 20 % on house rent. How much do I spend on food and house rent?
He's WRONG! 
Remainder after keeping 1%2F3: matrix%281%2C5%2C+2%2F3%2C+of%2C+%22%244%2C500%22%2C+%22=%22%2C+%22%243%2C000%22%29
Spending 70% (50% + 20%) on food and rent means that: was spent.

Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.
Out of a salary of $4500, I kept 1/3 as savings.
Out of the remaining money, I spend 50 % on food and 20 % on house rent.
How much do I spend on food and house rent?
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            I have another solution and another answer, different from that of @Boreal.


Out of the salary of $4500, one third, or $1500 goes to savings.


The remaining amount is $4500 - $1500 = $3000.


Of the remaining $3000, 50%, or $1500, is spent on food,


                    and 20%, or  $600, is spent on rent.


ANSWER.  $1500 is spent on food.   $600  is spent on rent.



         Notice that the sum  $1500 + $1500 + $600 = $3600, which is less than $4500,

         so  (1)  my solution is not self-contradictory, and 

             (2)  allows the room for other spendings, like gas, transportation, paying insurances, making gifts etc.

Solved.