Question

I have some 5 rupee coins and some 2 rupee coin s. the number of 2 rupee coins is four times that of 5 rupee coins. if I have rupees 117 in all find the number of coins of each denomination.​

Answer 1

Answer:

36 two rupee coin and 9 five rupee coin

Step-by-step explanation:

let

5 rupee coin be x and 2 rupee coin be y

A.T.Q.

y=4x

4x - y = 0 .....(1)

and 5x + 2y =117 .....(2)

on adding eq (1) ×2 with eq (2)

we get,

x=9

on substituting x=9 in eq 1,we get

y=36

therefore,

no. of 5 rupees coins =x = 9

and,no. of 2 rupees coins = y =36

so,total no. of coins = 9+36 = 45.