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1 September, 02:27

Kaveri has a total rs 590 as currency notes is the denominations ofrs50, rs 20, and rs 10. the ratio of the number of rs 50 note and rs 2o is 3:5. if she has a total of 25 notes, how many notes of each denomination she has?

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  1. 1 September, 06:04
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    Let

    x = number of rs 50

    y = number of rs 20

    z = number of rs 10

    Because there are 25 total notes,

    x + y + z = 25 (1)

    The ratio of rs 50 to rs 20 is 3:5, therefore

    x = 0.6y (2)

    The total amount is rs 590, therefore

    50x + 20y + 10z = 590

    or

    5x + 2y + z = 59 (3)

    Subtract (1) from (3).

    4x + y = 34 (4)

    Substitute (2) into (4).

    4 * (0.6y) + y = 34

    3.4y = 34

    y = 10

    From (2), obtain

    x = 6

    From (1), obtain

    z = 25 - 6 - 10 = 9

    Answer:

    Kaveri has

    6 rs 50 notes,

    10 rs 20 notes,

    9 rs 10 notes.
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