Question

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

Answer 1

Let the number of rs 5 coins be x

Given that

the number of rs 2  coins is 3 times the number of rs 5 coins

Number of rs 2 coins is = 3x

Also Given that

Total Number of coins = 160

Number of rs 1 coins + Number of rs 2 coins + number of rs 5 coins = 160

 x + 3x + number of rs 1 coins = 160

4x  + number of rs 1 coins = 160

Number of rs 1 coins = 160 - 4x

Total Value of coins = 300

So , 5 * x    +   2*3x    + 160 - 4x  = 300

5x + 6x + 160 - 4x  = 300

11x - 4x = 300 - 160

7x = 140

x = 20

So ,   Number of Rs. 5 coins =20

Number of Rs. 2 coins =60

Number of Re. 1 coins =80

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