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23 November, 19:48

There are twice as many nickels as quarters. If the coins are worth $4.90, how many quarters and nickels are there?

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Answers (2)
  1. 23 November, 20:33
    0
    Hello!

    There are 14 quarters and 28 nickels! 42 coins in total.

    x

    x

    x

    Explanation:

    25 x 14=350 (3.50)

    5 x 28=140 (1.40)

    3.50+1.40=4.9

    How I got 14 and 28:

    14 was just a guess and I doubled 14 to get 28.
  2. 23 November, 21:53
    0
    28 nickels and 14 quarters

    Step-by-step explanation:

    If N is the number of nickels and Q is the number of quarters, then:

    N = 2Q

    5N + 25Q = 490

    Solve the system of equations with either substitution or elimination. Using substitution:

    5 (2Q) + 25Q = 490

    10Q + 25Q = 490

    35Q = 490

    Q = 14

    N = 28

    There are 28 nickels and 14 quarters.
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