2004 AMC 10A Problem 3

Attempt Problem 3 of the 2004 AMC 10A 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 2004 AMC 10A solutions, or check the answer key.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

3.

Alicia earns $2020 per hour, of which 1.45%1.45\% is deducted to pay local taxes. How many cents per hour of Alicia’s wages are used to pay local taxes?
0.00290.0029
0.0290.029
0.290.29
2.92.9
2929
Answer: E
Concepts:percentageunit conversion
Small hint:
Convert $2020 into cents before taking the percentage
Big hint:
Compute 1.45%1.45\% of 20002000 cents
Solution:
Since $2020 equals 20002000 cents, the local tax is 0.0145×2000=29 0.0145 \times 2000 = 29 cents per hour.
Thus, the correct answer is E.
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