Question

Pls anyone solve my doubt with step by step explanation

who will give the correct answer I will have his/her answer as Brainliest answer ​

Answer 1

$\bold { \red{EXPLANATION}}$

GIVEN:

Rs 300 coins in denomination of Rs 1 ,Rs 2 ,Rs 5

Total no of coins = 160

TO FIND:

Coins of each denomination ie Rs 1 ,Rs 2 ,Rs 5

SOLUTION:

$Let \: number \: of  \: Rs \: 5  \: coins \: be  \: x \\Number \: of \: \: Rs  \: 2  \: coins  \: \\ =3× Number \: of  \: 5 \:  Rs \: coins \: \\  =3x \\ Number \: of  \: Re \: 1  \: coins  \\ =160−(x+3x)\\=160−4x$

$Amount \: of  \: Rs \: 5  \: coins \\=5×x \\=5x\\ Amount \: of  \: Rs \: 2  \: coins  \\=2×3x \\ =Rs \: 6x\\ Amount \: of  \: Re \: 1  \: coins  \\ =(160−4×x)\\=160−4x$

Now,

$As \: per \: the \: question, \: Total \: amount =Rs300 \\ 160−4x+5x+6x=300\\ 7x=300−160\\7x = 140 \\ x = \frac{140}{7} \\ \therefore \: x = 20$

$Number \: of \: Rs \: 1  \: coins  \: is \: 160−4x \\ =160−4×20\\=80\\ Number \: of  \: Rs \: 2 \:  coins  is \: 3x \\=3×20 \\=60\\ Number \: of \:  Rs \: 5  \: coins \: is \: x \\ \therefore \: x=20$

Therefore,

Number of 1 Rs coin = 80

Number of 2 Rs coin = 60

Number of 5 Rs coin = 20