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Pebble Beach

• oilyrag 875 Posts

  Thu, Feb 9 2012 5:52 AM

  thebigeasy707:

  Here's that question.

  Q. Every month, a girl gets allowance. Assume last year she had no money, and kept it up to now. Then she spends 1/2 of her money on clothes, then 1/3 of the remaining money on games, and then 1/4 of the remaining money on toys. After she bought all of that, she had $7777 left. Assuming she only gets money by allowance, how much money does she earn every month?
  

  tbe

   

   

  no trick questions :)

   

• lvietri 3,326 Posts

  Thu, Feb 9 2012 4:48 PM

  OK I'll take a stab at it.

  I'd say .. zero ... you don't earn an allowance.. your given it.

  Or .. she gets 7,777 / month allowance if that's what your looking for.   (change here) :)

   

  Of course if you were talking about my wife ... she doesn't know how much she gets, or what she has left ... but she's got the spending part down like a pro.

• WGTicon 12,511 Posts

  Thu, Feb 9 2012 5:58 PM

  lvietri:

  OK I'll take a stab at it.

  I'd say .. zero ... you don't earn an allowance.. your given it.

  Or .. she gets 15,554 / month allowance if that's what your looking for.

   

  Of course if you were talking about my wife ... she doesn't know how much she gets, or what she has left ... but she's got the spending part down like a pro.

  Well, ye sand no. Many kids do chores to earn it :P

   

• lvietri 3,326 Posts

  Fri, Feb 10 2012 4:46 AM

  Kids should do chores to pay for their room and board !!!

• genorb 1,255 Posts

  Fri, Feb 10 2012 6:55 AM

  thebigeasy707:

  Here's that question.

  Q. Every month, a girl gets allowance. Assume last year she had no money, and kept it up to now. Then she spends 1/2 of her money on clothes, then 1/3 of the remaining money on games, and then 1/4 of the remaining money on toys. After she bought all of that, she had $7777 left. Assuming she only gets money by allowance, how much money does she earn every month?

  Couldn't resist...

  You started by saying that last year she had no money. I thus assume that the amount left (7777$) and what she spent was over a year (I also assume that there is no language tricks). Indeed the following part is not clear :) (what means now in this context).

  thebigeasy707:

  Assume last year she had no money, and kept it up to now. 

  The total amount of money she get before spending it is then 31108$. Indeed, she spends half of it for clothes, thus it remains 15554$. From that she spend 1/3 on games, it remains 10369.33$... From that money, she spend 1/4 on toys, it remains 7777$.

  Thus per month she gets 31108/12 = 2592.33 (but this could be wrong because it's not clear from what you wrote over which period of time she got all the money)

  Regards

• benjawood 447 Posts

  Fri, Feb 10 2012 7:04 AM

  thebigeasy707:

  Here's that question.

  Q. Every month, a girl gets allowance. Assume last year she had no money, and kept it up to now. Then she spends 1/2 of her money on clothes, then 1/3 of the remaining money on games, and then 1/4 of the remaining money on toys. After she bought all of that, she had $7777 left. Assuming she only gets money by allowance, how much money does she earn every month?
  

  tbe

  $2222.

• oilyrag 875 Posts

  Fri, Feb 10 2012 7:47 AM

  still no canadians replied eh

  wgt sure know how not to give a prize away :)

• YankeeJim 25,827 Posts

  Fri, Feb 10 2012 9:20 AM

  Where x=total income (assumes 12 months allowance saved up.)

  x -.5x = clothes

  x - .5x - .5x/3 = games

  (x - .5x  - .5x3)/4 = toys

  therefore

  .5x - (.5x - .5x/3) - (( .5x - .5x/3)/4))  =  $7777

  factoring out x

  x (( 1 - .5/3 - (.5 - .5/3)/4)) = $7777

  x ( 1 - .167 - .083) = $7777

  .25x = $7777

  x = $31108

  allowance =$2592.33/month

  (Fabian probably did it in his head.)  :-D

  @benja- I got $2222 before I realized the 1/4 for the toys doesn't include what was spent on games.