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?

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(52851)   (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(39625)   (Show Source): You can put this solution on YOUR website!
He first SAVED of his money, p;
and then, spent HALF of that...
Amount still unspent

Answer by MathTherapy(10555)   (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!!
RELATED QUESTIONS
Please support with explanation , thk Bill spent 1/6 of his money and an additional $11... (answered by Theo,greenestamps)
A man spent 1/3 of his money and then lost 2/3 of the remainder. He was left with $12.00. (answered by mananth)
Tom worked for a week from Monday to Friday and was paid $7 per hour. He used 3/5 of his (answered by greenestamps)
A man gave two fifths of his paycheck to his wife and spent half of the remainder. If he (answered by subudear)
Monica spent {{{1/2}}} of her money and another $5 on prawns. She then spent {{{1/2}}}... (answered by ikleyn)
Henry spent 1/4 of his money and an additional $3 on a number of DVDs. He then spent 3/5... (answered by ikleyn)
Alice had twice as much money as Peter. After Alice spent 1/6 of her money and Peter... (answered by ikleyn)
David spent $75 of his money on some t-shirts. He spent 1/4 of the remaining money on... (answered by math_tutor2020,mananth,ikleyn,MathTherapy)
Nelson had some money. He spent $124.50 on a shirt and 3/8 of the remaining money on some (answered by josgarithmetic)