there are hundred coins ,of which some are 2 rupee coins and the remaining are ₹ 5 coins in a box. if the total amount in the box

1 thought on “there are hundred coins ,of which some are 2 rupee coins and the remaining are ₹ 5 coins in a box. if the total amount in the box”

1. Answer:

   Number of Rupees 5 coins = 70

   Step-by-step explanation:

   Given,

   Let the number of 2 rupee coins be = x

   Let the number of 5 rupee coins be = y

   Number of coins = 100

   = x+y = 100

   = y = 100-x —-(1)

   Amount of 2rs coins = 2x

   Amount of 5rs coins = 5y

   Total amount = Rs.410

   = 2x+5y = 410 —-(2)

   Substitute Equation 1 in 2

   = 2x+5(100-x) = 410

   = 2x +500-5x = 410

   = 5x-2x = 500-410

   = 3x = 90

   = x = 90/3

   = x =30 (Number of Rupees 2 coins)

   We know,

   x+y=100

   30+y=100

   y=100-30

   y=70 (Number of Rupees 5 coins)

   Reply