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8 April, 10:21

Collection of nickels and quarters is worth $2.85. There are three more nickels and quarters. How many nickels and quarters are there?

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  1. 8 April, 12:34
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    The pile contains 12 nickels and 9 quarters.

    Let x = the number of nickels and y = the number of quarters.

    Then, we have two equations:

    (1) $0.05x + $0.25y = $2.85

    (2) x = y + 3

    Substitute the value of x from Equation (2) into Equation (1).

    0.05 (y+3) + 0.25y = 2.85

    0.05y + 0.15 + 0.25y = 2.85

    0.30y = 2.85 - 0.15 = 2.70

    y = 2.70/0.30 = 9

    Substitute the value of y in Equation (2).

    x = 9 + 3 = 12

    The pile contains 12 nickels and 9 quarters.

    Check: 12*$0.05 + 9*$0.25 = $0.60 + $2.25 = $2.85.
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