Difference between revisions of "2012 AMC 12B Problems/Problem 3"
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==Solution== | ==Solution== | ||
− | If x is the number of holes that the chipmunk dug then | + | If <math>x</math> is the number of holes that the chipmunk dug, then <math>3x=4(x-4)</math>, so <math>3x=4x-16</math>, and <math>x=16</math>. The number of acorns hidden by the chipmunk is equal to <math>3x = \boxed{\textbf{(D)}\ 48}</math> |
== See Also == | == See Also == | ||
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{{AMC12 box|year=2012|ab=B|num-b=2|num-a=4}} | {{AMC12 box|year=2012|ab=B|num-b=2|num-a=4}} | ||
+ | {{MAA Notice}} |
Latest revision as of 15:57, 3 July 2013
Problem
For a science project, Sammy observed a chipmunk and squirrel stashing acorns in holes. The chipmunk hid 3 acorns in each of the holes it dug. The squirrel hid 4 acorns in each of the holes it dug. They each hid the same number of acorns, although the squirrel needed 4 fewer holes. How many acorns did the chipmunk hide?
Solution
If is the number of holes that the chipmunk dug, then , so , and . The number of acorns hidden by the chipmunk is equal to
See Also
2012 AMC 12B (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 12 Problems and Solutions |
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