Question

Rekha collected some coins of 1 rupee and rupee 5 in her piggy bank.If she had 320 rupee in total and total number of coins were 200, find the number of coins of each denomination

Answer 1

Let the number of 1 rupee coin is x
And number of 5 rupee coin is y.
Here total coins are 200 so
x + y = 200 ....... (1)
Also total rupee is 320
Hence, x + 5y = 320 ..... (2)
Subtracting equation (1) from (2), we get
4y = 120
y = 30
Substitute y = 30 in equation (1), we get
x + 30 = 200
x = 170
Hence there are 170 coins of 1 rupee and 30 coins of 5 rupee

Answer 2

Let no. of coins of 1 rupee be x and no. of coins of 5 rupees is (200-x).
Total cost = 1(x)+5(200-x)=320
or, x+1000-5x=320
or, 1000-4x=320
or, -4x=320-1000=-680
or, x=-680/-4
or, x=170
Hence,no. of 1 rupee coins is 170 and no. of 5 rupees coins is (200-170)=30.