2014 AMC 8 Problems/Problem 2
Problem
Paul owes Paula cents and has a pocket full of
-cent coins,
-cent coins, and
-cent coins that he can use to pay her. What is the difference between the largest and the smallest number of coins he can use to pay her?
Solution
The fewest amount of coins that can be used is (a quarter and a dime). The greatest amount is
, if he only uses nickels. Therefore we have
.
Video Solution (CREATIVE THINKING)
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Video Solution
https://youtu.be/OOdK-nOzaII?t=454
~savannahsolver
See Also
2014 AMC 8 (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 AJHSME/AMC 8 Problems and Solutions |
These problems are copyrighted © by the Mathematical Association of America, as part of the American Mathematics Competitions.