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How many ways can you get $1.05 using only nickels, dimes, and quarters

  • math -

    I would create a table of values using
    quarters, nickels and dimes

    Q D N
    4 0 1
    3 3 0
    3 2 2
    3 1 4
    3 0 6 Did you notice the pattern? take away 1 dime, add 2 nickels
    2 5 1
    2 4 3
    2 3 5
    2 2 7
    2 1 9
    2 0 11

    1 8 0
    1 7 2
    ...
    1 0 16

    0 10 1
    0 9 3
    0 8 5
    ...
    0 0 21

    Can you complete the chart and count the triples?

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