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March 30, 2017

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I have a bunch of nickels and quarters worth $7.85 in my [pocket. How do I write a system of equation to solve and determine how many of each coin I have!!

  • Math 8th Grade - ,

    5N + 25Q = 785

    N + 5Q = 157
    N = 157 - 5Q

    Of course you cannot have a unique solution, since you don't have enough information to form a second equation.
    But...
    you said he has a bunch of nickels and quarters, so he has at least one of each

    so let Q be a number form 1 to 25 to get different combinations

    Q N ------ combination ----------- value
    1 152 ---- 1 quarter + 152 nickels = $7.85
    2 147 -----2 quarters + 147 nickels = $7.85
    ...
    25 32 ----- 25 quarters + 32 nickels = $7.85

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