A coin collection consists of dimes and nickels. If there are a total of 500 coins valued at $39. how many dimes are there?

Question

A coin collection consists of dimes and nickels. If there are a total of 500 coins valued
at $39. how many dimes are there?

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Kim Cúc 5 months 2021-08-23T12:04:10+00:00 1 Answers 3 views 0

Answers ( )

    0
    2021-08-23T12:06:08+00:00

    Answer:

    There are 280 dimes

    Step-by-step explanation:

    A nickel is worth 5 cents while a dime is worth 10 cents

    Let n be number of nickel

    d the number of dimes

    n + d = 39

    Secondly

    $39 is same as 3900 cents

    So we have;

    10d + 5n = 3900

    From first equation;

    n = 500-d

    Put this in second equation;

    10d + 5(500-d) = 3900

    10d + 2500-5d = 3900

    5d = 3900-2500

    5d = 1400

    d = 1400/5

    d = 280

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