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?

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)   (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)   (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 :
Spending 70% (50% + 20%) on food and rent means that: was spent.
Answer by ikleyn(52778)   (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.

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