I have a total of rs.300 in coins of denomination rs.1, rs. 2 and rs. 5. The number of rs. 2 coins is 3 times the number of rs. 5 coins. The total number coins is 160. How many coins of each denomination are with me?

Number of rs 1= 80

Number of rs 2=60

Number of rs 5=20

Step-by-step explanation:

Given the total number of coins as 160 and their value as Rs 300. Let the number of Rs 5 coin be

#Given that Rs 2 is 3x Rs 5:

-The number of Rs 2=, so the number of Rs 1 is calculated as:

Amounts for each coin is:

#Substitute the x for each denomination to find it's number:

Hence,

#Number of rs 1= 80

#Number of rs 2=60

#Number of rs 5=20