Difference between revisions of "2018 AMC 10A Problems/Problem 3"
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Sweetmango77 (talk | contribs) (These two solutions are basically the same, so we only need one of them. The second solution explains it better, so I removed the first one.) |
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The problem says there are <math>10! = 10\cdot 9\cdot 8\cdot 7\cdot 6\cdot 5\cdot 4\cdot 3\cdot 2\cdot 1</math> seconds. | The problem says there are <math>10! = 10\cdot 9\cdot 8\cdot 7\cdot 6\cdot 5\cdot 4\cdot 3\cdot 2\cdot 1</math> seconds. |
Revision as of 11:01, 29 November 2020
Problem
A unit of blood expires after seconds. Yasin donates a unit of blood at noon of January 1. On what day does his unit of blood expire?
Video Solution
Education, the Study of Everything
Solution
The problem says there are seconds. Convert seconds to minutes by dividing by : minutes. Convert minutes to hours by again, dividing by : hours. Convert hours to days by dividing by : days.
Now we need to count days after January 1. Since we start on Jan. 1, then we can't count that as a day itself. When we reach Jan. 31(The end of the month), we only have counted 30 days. . Count more days, resulting
~nosysnow and Max0815
Video Solution
~savannahsolver
See Also
2018 AMC 10A (Problems • Answer Key • Resources) | ||
Preceded by Problem 2 |
Followed by Problem 4 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
All AMC 10 Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.