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21 April, 01:29

Sara has a jar filled with 135coins, which consists only of quarters and nickels. If sara has a total of $22.75 in the jar which of the following is the number of nickels sara has in the jar?

A. 25

B. 55

C. 80

D. 130

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Answers (1)
  1. 21 April, 01:51
    0
    Answer: 80 quarters

    55 nickels

    Explanation:

    Equation 1

    q + n = 135

    q = 135 - n

    Also we know the dollar values: 0.25q + 0.05n = 22.75, call this equation 2

    Substituting in equation 2, we get

    0.25 (135-n) + 0.05n = 22.75

    33.75 - 0.25n + 0 05n = 22.75

    -0.25n + 0.05n = 22.75 - 33.75

    -0.20n = - 11

    n = 11/0.20 = 55 = nickels

    If q + n = 135

    q = 135 - 55 = 80 = quarters
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