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Algebra

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Sally's collection of quarters and dimes contains $32.85. There are 171 coins in all. How many quarters and dimes are in Sally's collection?


Can you show me the two equations you got and explain

-Thanks

  • Algebra - ,

    25 Q + 10 D = 3285 (the total number of cents)

    Q + D = 171 (the total number of coins)

    To solve, multiply the second equation by 10.

    10 Q + 10D = 1710

    Now subtract one equation from the other.

    15 Q = 1575
    Q = 105
    D = 171 - 105 = 66

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