I have a total of rs.300 in coins of denomination rs.1, rs. 2 and rs. 5. The number of rs. 2 coins is 3 times the number of rs. 5 coins. The

Question

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

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Gabriella 1 week 2021-09-15T09:13:39+00:00 1 Answer 0

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    2021-09-15T09:15:07+00:00

    Answer:

    Number of rs 1= 80

    Number of rs 2=60

    Number of rs 5=20

    Step-by-step explanation:

    Given the total number of coins as 160 and their value as Rs 300. Let the number of Rs 5 coin be x

    #Given that Rs 2 is 3x Rs 5:

    -The number of Rs 2=3x, so the number of Rs 1 is calculated as:

    n_1+n_2+n_3=160\\\\n_1+x+3x=160\\\\n_1=160-4x

    Amounts for each coin is:

    1(160-4x)=160-4x\\\\2\times 3x=6x\\\\5\times x=5x\\\\\therefore 160-4x+5x+6x=300\\7x=140\\\\x=20

    #Substitute the x for each denomination to find it’s number:

    n_1=160-4(20)=80\\\\n_2=3(20)=60\\\\n_5=x=20

    Hence,

    #Number of rs 1= 80

    #Number of rs 2=60

    #Number of rs 5=20

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