Question

I have a total of rupees 300 in coins of denomination. Rupee 1, rupee 2 and rupee 5. the number of rupee 2coins is three times the number of Rupee 5 coins. The total number of coin is 160. How many coins of each denomination are with me.

Answer 1

Let number of Rs 5. coins = x Then number of Rs2. coins = 3x number of Re 1. coins = 160 - 4x Since total amount = Rs.300 5x + 6x + 160 - 4x = 300 ie, 7x = 140 implies x = 140 / 7 = 20 Therefore , number of Re1 coins = 160 - 4*20 = 160 - 80 = 80 number of Rs2 coins = 3x = 3*20 = 60 number of Rs.5 coins = x = 20