2010 AMC 12B Problem 1

Attempt Problem 1 of the 2010 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 2010 AMC 12B solutions, or check the answer key.

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

1.

Makayla attended two meetings during her 99-hour work day. The first meeting took 4545 minutes and the second meeting took twice as long. What percent of her work day was spent attending meetings?
1515
2020
2525
3030
3535
Answer: C
Concepts:percentageunit conversion
Small hint:
Convert the work day to minutes: 99 hours is 540540 minutes
Big hint:
The two meetings together last 45+2⋅4545+2\cdot45 minutes
Solution:
The two meetings lasted 45+90=13545+90=135 minutes, and the work day is 9⋅60=5409\cdot60=540 minutes.
The fraction of the day spent in meetings is 135540=14=25%. \frac{135}{540}=\frac14=25\%.
Thus, the correct answer is C.
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