Question

(iv) A piggy bank has only two rupee and five rupee coins. If the total number of coins is

60 and the total value of the coins is Rs 195, find the number of two rupee and five rupee

coins separately.​

Answer 1

Given:-

Total number of coins = 60

Total value of coins = 195

To find:-

Number of 2 rupees and 5 rupees coins

Solution:-

Let's take the number of 2 rupees coins be x and 5 rupees coins be y,

Therefore,

x + y = 60.... equation 1

2x + 5y = 195.... equation 2

Let's multiply equation 1 by 5

We will get,

5x + 5y = 300.... equation 3

Let's subtract equation 2 from equation 3

5x + 5y = 300

2x + 5y = 195

_____________

3x = 105

3x = 105

$x \: = \: \frac{105}{3}$

x = 35

Let's put the value of x in equation 1

x + y = 60.... equation 1

35 + y = 60

y = 60 - 35

y = 25

Hence, the number of 2 rupees coin is 35 and number of 5 rupees coins is 25