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I HAVE A TOTAL OF RS.1 …

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I HAVE A TOTAL OF RS.1 ,RS.2 AND RS.5THE NUMBER OF RS.2 IS 3 TIMES THE NUMBER OF RS.5 THE TOTAL NUMBER OF COINS IS 160.HOW MANY NOTES OF EACH  DENOMINATION WITH ME

  • 1 answers

Rashmi Bajpayee 6 years, 9 months ago

The question is incomplete.

This question is "I have a total of Rs.300. Rs.1, Rs.2........

Then,

Let the number of Rs.5 coin be x, then number of Rs.2 coin is 3x.

=>     Number of Rs.1 coin is 160 - (Total number of Rs.2 and Rs.5 coins) = 160 - (x + 3x) = 160 - 4x

Now,

Amount of Rs.1 coin = Rs.1 x (160 - 4x) = Rs. (160 - 4x)

Amount of Rs.2 coin = Rs.2 x {tex}3x{/tex} = Rs. {tex}6x{/tex}

Amount of Rs.5 coin = Rs.5 x {tex}x {/tex} = Rs. {tex}5x{/tex}

According to question,

{tex}160-4x+6x+5x=300{/tex}

=>     {tex}160+7x=300{/tex}

=>     {tex}7x=300-160{/tex}

=>     {tex}7x=140{/tex}

=>     {tex}x = 20{/tex}

Therefore,

Number of Rs.1 coin = {tex}160-4x{/tex} = 160 - 4 x 20 = 160 - 80 = 80

Numebr of Rs.2 coin = {tex}3x{/tex} = 3 x 20 = 60

Numebr of Rs.5 coin = {tex}x {/tex} = 20 

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