A change making machine contains 1 rupee, 2 rupee and 5 rupee coins. The total number of coins is 300. The amount is Rs.960. If the number of 1 rupee coins and the number of 2 rupee coins are interchanged, the value comes down by Rs.40.What is the total number of 5 rupee coins?

• The value of the denominations : Re.1 Rs.2 Rs.5
  No. of coins : x y 300-x-y
  Value of the coins: 1*x+2*y+5*(300-x-y)
  Thus the first equation comes to 4x+3y=540
  Now when the No. of coins are rearranged as per the condition
  The second equation comes to 3x+4y=580
  Solving the equations, we get
  x=60,y=100
  Thus, the total no. of Rs.5 coin is 140
• 12 years agoHelpfull: Yes(5) No(1)
• The value of the denominations : Re.1 Rs.2 Rs.5
  No. of coins :
• 12 years agoHelpfull: Yes(0) No(1)
• 140 Coins
  For 5
• 12 years agoHelpfull: Yes(0) No(0)