In sivkasi each boy's quota of matchsticks to fill into boxes is not more than 200 per session. if he reduces the number of sticks per box by 25,he can fill 3 more boxes with the total number sticks assigned to him. what are the no of sticks assigned to each boy

• 150 sticks because when he put 50 sticks in a box then he will be able to fill three boxes
  reducing the number of sticks by 25
  total box that can be filled is 150/(50-25)
  =6 three more than the previos one
• 9 years agoHelpfull: Yes(8) No(1)
• Let no. of matchstick assigned to boy=n;
  
  no. of matchsticks he put in each box=x;
  
  And, the no. of boxes=y;
  Initially we have;
  => n / x = y. -----------------------(i)
  After he reduces no. of matchsticks in each box by 25, we have :-
  => n / x - 25 = y + 3. -----------------------(ii)
  On solving eq (i) and (ii), we have;
  => n= 3* x * ( x - 25 ) / 25;
  
  i.e. no. of stick must be a multiple of 25;
  
  Let x=50, we have;
  =>3 * 50 * (50-25) /25.
  => 3 * 50 = 150.
  
  Hence, the required number of sticks is 150.
• 8 years agoHelpfull: Yes(7) No(1)
• how u assume 150 @ sourabh
• 9 years agoHelpfull: Yes(1) No(0)
• 200- coz 40*5 box= 200
  now 25*5 box= 125 so 75 remaining with this can fill 3 boxes of 25 sticks
• 9 years agoHelpfull: Yes(0) No(4)