I have a total of Rs300 in coins of denomination RS 1, Rs 2 and Rs 5. The number of RS 2 coins is 3 times the number of Rs5 coins. The total

Question

I have a total of Rs300 in coins of denomination RS 1, Rs 2 and Rs 5. The number of RS 2 coins is 3 times the number of Rs5 coins. The total number of coins is 160. How many coins of each denomination are with me?

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Claire 4 days 2021-10-10T01:15:10+00:00 2 Answers 0 views 0

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    0
    2021-10-10T01:16:23+00:00

    Answer:

    let the no. of rs 5 coins be x

    & the no. of rs 1 coin be y

    & no. of rs 2 coins be 3 x

    a.q.t total no. of coins = 160

    x + 3x+y = 160

    4x + y = 160 eq. 1

    again a.q.t total rs = 300

    5x + 2(3x) + 1y = 300

    11x + y = 300 eq. 2

    by elimination method

    on subtracting both the equations

    4x + y = 160

    -11x -y = -300

    =-7x =-140

    x =20

    on putting the the value of x in eq 2

    4(20) + y =160

    80 + y = 160

    y =80

    now,

    no of rs 2 coins = 3(20)

    = 60

    no. of rs 5 coins = 20

    no. of rs 1 coins=80

    0
    2021-10-10T01:17:02+00:00

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    I have a total of Rs300 in coins of denomination RS 1, Rs 2 and Rs 5. The number of RS 2 coins is 3 times the number of Rs5 coins. The total number of coins is 160. How many coins of each denomination are with me?

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    Refer attachement!

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