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2005 AMC 12B Problems/Problem 1

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Problem

A scout troop buys 1000 candy bars at a price of five for 2 dollars. They sell all the candy bars at the price of two for 1 dollar. What was their profit, in dollars?

\mathrm{(A)}\ 100      \qquad\mathrm{(B)}\ 200      \qquad\mathrm{(C)}\ 300      \qquad\mathrm{(D)}\ 400      \qquad\mathrm{(...

Solution

\begin{align*}\mbox{Cash out} &= 1000 \cdot \frac25 = 400 \\\mbox{Cash in}  &= 1000 \cdot \frac12 = 500 \\\mbox{Profi...

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