SOLUTION: John spent 1/2 of his money in the supermarket and 1/3 in the store, what fraction of the money does he have left? And if he has $100 how much money did he originally have?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: John spent 1/2 of his money in the supermarket and 1/3 in the store, what fraction of the money does he have left? And if he has $100 how much money did he originally have?       Log On


   

Question 1207299: John spent 1/2 of his money in the supermarket and 1/3 in the store, what fraction of the money does he have left? And if he has $100 how much money did he originally have?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!



let original amount John had be x
John spent 1%2F2 of his money in the supermarket: so, we have x%2F2
and
1%2F3 in the store: so, we have x%2F3

he spent total of x%2F2%2Bx%2F3 and still has $100
sum of all he spent and he still have must be equal to original amount

x=x%2F2%2Bx%2F3%2B100....solve for x
x-x%2F2-x%2F3=100
%286x-3x-2x%29%2F6=100
x%2F6=100
x=600
John originally did have $600