2005 AMC 12B Problem 1

Attempt Problem 1 of the 2005 AMC 12B below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2005 AMC 12B solutions, or check the answer key.

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

$100$

$200$

$300$

$400$

$500$

Answer: A

Concepts:ratio and proportion money

Difficulty rating: 890

Solution:

The troop buys $1000 \div 5 = 200$ groups of five bars, costing $200 \cdot 2 = 400$ dollars.

They sell $1000 \div 2 = 500$ pairs of bars, earning $500 \cdot 1 = 500$ dollars.

The profit is $500 - 400 = 100$ dollars.

Thus, the correct answer is A.

Full Exam

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