SOLUTION: Danny saved 2/3 of his paycheck and spent 1/2 of the remaining money. He was then left with $6. What was the original value of Danny's paycheck?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Danny saved 2/3 of his paycheck and spent 1/2 of the remaining money. He was then left with $6. What was the original value of Danny's paycheck?      Log On


   



Question 1195294: Danny saved 2/3 of his paycheck and spent 1/2 of the remaining money. He was then left with $6. What
was the original value of Danny's paycheck?

Found 3 solutions by ikleyn, josgarithmetic, MathTherapy:
Answer by ikleyn(52835) About Me  (Show Source):
You can put this solution on YOUR website!
.
Danny saved 2/3 of his paycheck and spent 1/2 of the remaining money.
He was then left with $6. What
was the original value of Danny's paycheck?
~~~~~~~~~~~~~~~~

Let x be the original value of Danny's paycheck, in dollars.


After saving 2/3 of his paycheck, he left with x/3 dollars.


After spending 1/2 of these x/3 dollars, he left with x/6 dollars.


Our equation is  x/6 = 6.  It implies  x = 6*6 = 36.


ANSWER.  The original value of Danny's paycheck was $36.

Solved.



Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
He first SAVED 2%2F3 of his money, p;
and then, spent HALF of that...
Amount still unspent
%281%2F2%29%282%2F3%29p=6
%281%2F3%29p=6

p=18

Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!

Danny saved 2/3 of his paycheck and spent 1/2 of the remaining money. He was then left with $6. What
was the original value of Danny's paycheck?
One of those 2 answers is INCORRECT. 
If you've been on here long enough, you should know which one is MORE LIKELY to be. If you don't then just do a check.
If done right, you'll be able to tell!!