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?

• Let us consider every month she get allowance of Rs.= y
  So,
  After 12 months total money she have= 12y(let we called x)
  12y=x
  
  Money spent on clothes=x/2
  Now, money left=x-x/2= x/2
  
  Money spent on games is 1/4 of remaining =(1/3)*(x/2)=x/6
  Now, money left=(x/2)-(x/6)= x/3
  Next,
  
  Money spent on games is 1/3 of remaining =(1/4)*(x/3)=x/12
  Now, money left=(x/3)-(x/12)= x/4
  
  And as given she is left with money=7777
  So, x/4=7777
  therefore, x = 7777*4 = 31108
  
  So, allowance per month = y = 31108/12 = 2592.333
  
  
  
  
• 12 years agoHelpfull: Yes(16) No(0)
• let the girl gets x$ per month,then
  for 12 months she would get 12x$,she spent 12x/2 $ on clothes,now she will have 12x/2 $=6x$,1/3 of this is spent on games i.e (12x/2)*(1/3)=2x.then remaining money is 6x-2x=4x$.1/4 of this is spent on toys i.e 4x/4=x $.now she is left with 4x-x=3x$ which is given as 7777.so x=7777/3=2592.333$.so, she would get monthly allowance of 2592.33$
• 12 years agoHelpfull: Yes(2) No(0)
• let x be the allowance then,
  after purchasing clothes=12x-(12x/2)=6x
  after games=6x-(6x/3)=4x
  after having toys=4x-(4x/4)=3x
  remaining money=3x=7777
  then x=7777/3=2592.33$
  
• 11 years agoHelpfull: Yes(2) No(0)
• If x is the total allowance, then
  x*(1-0.5)(1-1/3)*(1-1/4) = 7777
  x= 7774*2*(3/2)*(4/3)= 7777*4 = 31108
  
  Depending on no of months , per month allowance can be calculated.
  
• 13 years agoHelpfull: Yes(0) No(5)