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2020 AMC 10A Problem 3

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2020 AMC 10A Problem 3AMC 10 Step by Step
Name:                             Date: September 13, 2026
Algebraic Manipulation · difficulty 1 of 5 · about 1 min · position P1-10

Assuming a≠3a\neq3 , b≠4b\neq4 , and c≠5c\neq5 , what is the value in simplest form of the following expression? a−35−c⋅b−43−a⋅c−54−b\frac{a-3}{5-c} \cdot \frac{b-4}{3-a} \cdot \frac{c-5}{4-b}

  1. A)

    −1{-}1

  2. B)

    11

  3. C)

    abc60\frac{abc}{60}

  4. D)

    1abc−160\frac{1}{abc} - \frac{1}{60}

  5. E)

    160−1abc\frac{1}{60} - \frac{1}{abc}

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