Question

I have a total of 300rs in coins of denomination 1,2,and 3 the number of 2 coins is 3 time the number of 5 coins the totat number of coins is 160 .how many coins of each denomination are with me

Answer 1

Number of rs 5 coins - x
Value of all rs 5 coins - 5*x= 5x
Number of rs 2 coins - 3x
Value of all rs 2 coins - 2*3x = 6x

Total value is 300

Value and number of rs 1 coins is - 300 - (5x +6x)

Total number of coins - 160
x + 3x + (300-11x) = 160
7x = 140
x = 20

Ans-

Number of coins of each denomination - 

Rs 1 coins - (300-11x) = 80 coins
Rs 2 coins - 3x            = 60 coins
Rs 5 coins - x              = 20 coins

Answer 2

Answer:

Total no. of coins = 160

The no. of 5 rs coins be x

The no. of 2 rs coins be 3x

The no. of 5 rs coins be 4x

The no. of coins => 1 coins 160 - ( 3x + x)

= 160 - 4x

Amount of 5 rs coins = 5x

Amount of 2 rs coins = 2x × 2 = 6x

Amount of 1 rs coin = 60 - 4x

.•. -> 5x + 6x + 160 - 4x = 300

-> 11x + 160 - 4x = 300

-> 7x + 160 - 4x + 160 = 300

-> 7x = 140

-> x = 140 / 7 = 20