Difference between revisions of "2003 AMC 10B Problems/Problem 2"
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Revision as of 11:09, 4 July 2013
Problem
Al gets the disease algebritis and must take one green pill and one pink pill each day for two weeks. A green pill costs more than a pink pill, and Al's pills cost a total of for the two weeks. How much does one green pill cost?
Solution
Since there are days in weeks, Al has to take green pills and pink pills in the two week span.
Let the cost of a green pill be dollars. This makes the cost of a pink pill dollars.
Now we set up the equation and solve. Since there are pills of each color, the total cost of all pills, pink and green, is dollars. Setting this equal to and solving gives us
Therefore, the cost of a green pill is .
See Also
2003 AMC 10B (Problems • Answer Key • Resources) | ||
Preceded by Problem 1 |
Followed by Problem 3 | |
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.