Question

i have total of 500rs in coins of denomination 1rs 2rs and 10 rs the no of 2rs coins is three times the no of 10 rs coins the total no of coins is 140 how many coins of each denomination are with me

Answer 1

Let the number of 10rs coins be x then the number of 2 rs will be 3x

The number of 1 rs coin is :

140 - 4x

The total value of the coins in terms of x is :

3x × 2 + x × 10 + 1(140 - 4x) = 6x +10x - 4x + 140

= 12x + 140

This equals to 500 rs

12x + 140 = 500

12x = 500 - 140

12x = 360

x = 30

10 rs coins = 30

2 rs coins = 30 × 3 = 90

1 rs coins = 140 - 120 = 20