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2005 AMC 12B Problem 1

Problem 1 of 25EasierAlgebra

A scout troop buys 10001000 candy bars at a price of five for $2.\$2. They sell all the candy bars at a price of two for $1.\$1. What was their profit, in dollars?

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Solution

The troop buys 1000÷5=2001000 \div 5 = 200 groups of five bars, costing 200⋅2=400200 \cdot 2 = 400 dollars. They sell 1000÷2=5001000 \div 2 = 500 pairs of bars, earning 500⋅1=500500 \cdot 1 = 500 dollars. The profit is 500−400=100500 - 400 = 100 dollars. Thus, the correct answer is A.

More practice

Concepts: ratio and proportion · money

Problem text and solution from the LIVE past-contest archive. See also the AoPS wiki page for community solutions.