A person has only Rs. 1 and Rs. 2 coins with her

Linear Equations

A person has only Rs. 1 and Rs. 2 coins with her. If the total number of coins that she has is 50 and the amount of money with her is Rs. 75, then the number of Rs. 1 and Rs. 2 coins are, respectively.

  1. 30 and 20
  2. 35 and 15
  3. 25 and 25
  4. 15 and 35

Answer

Let number of 1 rupee coins = x and 2 rupee coins = y

Total number of coins is 50

x + y = 50 or x = 50 - y

Amount of money is Rs.75

x + 2y = 75

50 - y + 2y = 75

y = 25, x = 25

The correct option is C.