Problem 10 · 2001 AMC 8
Medium
Fractions, Decimals & Percents
percent-multiplier
A collector offers to buy state quarters for 2000% of their face value. At that rate, how much will Bryden get for his four state quarters?
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Answer: A — $20.
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Hint 1 of 2
The scary-looking 2000% is really just a multiplier — "percent" literally means "per hundred," so divide by 100.
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Hint 2 of 2
First nail the face value: four quarters = $1. Then multiply by the converted percent.
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Approach: percent as a multiplier
- Turn the percent into a number: 2000% = 2000 ÷ 100 = 20. So the collector pays 20 times face value.
- Four quarters have a face value of $1, so Bryden gets 20 × $1 = $20.
- Sanity check: 100% would be face value ($1), 200% would double it ($2), so 2000% is twenty times — $20, not $2000. "Percent" always means ÷ 100, which deflates big-looking percentages fast.
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