2022 AMC 10 A

Complete problem set with solutions and individual problem pages

Problem 4 Easy

In some countries, automobile fuel efficiency is measured in liters per 100 kilometers while other countries use miles per gallon. Suppose that 1 kilometer equals m miles, and 1 gallon equals l liters. Which of the following gives the fuel efficiency in liters per 100 kilometers for a car that gets x miles per gallon?

  • A.

    \frac{x}{100lm}

  • B.

    \dfrac{xlm}{100}

  • C.

    \frac{lm}{100x}

  • D.

    \frac{100}{xlm}

  • E.

    \frac{100lm}{x}

Answer:E

x \text{miles/gallon} = \frac x m \text{kilometers/} l \text{liters} = 1 \text{kilometer/} \frac {lm} {x} \text{liters} = 100 \text{kilometers/} \frac {100lm} {x} \text{liters}.

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