Difference between revisions of "2021 AMC 12A Problems/Problem 4"
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==Problem== | ==Problem== | ||
| − | + | Tom has a collection of <math>13</math> snakes, <math>4</math> of which are purple and <math>5</math> of which are happy. He observes that all of his happy snakes can add, none of his purple snakes can subtract, and all of his snakes that can't subtract also can't add. Which of these conclusions can be drawn about Tom's snakes? | |
| − | ==Solution== | + | |
| − | + | <math>\textbf{(A) }</math> Purple snakes can add. | |
| − | ==Note | + | <math>\textbf{(B) }</math> Purple snakes are happy. |
| − | + | <math>\textbf{(C) }</math> Snakes that can add are purple. | |
| + | <math>\textbf{(D) }</math> Happy snakes are not purple. | ||
| + | <math>\textbf{(E) }</math> Happy snakes can't subtract. | ||
| + | |||
| + | ==Video Solution by Punxsutawney Phil== | ||
| + | https://youtube.com/watch?v=MUHja8TpKGw&t=259s (Note that there's a slight error in the video I corrected in the description) | ||
| + | |||
==See also== | ==See also== | ||
{{AMC12 box|year=2021|ab=A|num-b=3|num-a=5}} | {{AMC12 box|year=2021|ab=A|num-b=3|num-a=5}} | ||
| + | {{AMC10 box|year=2021|ab=A|num-b=6|num-a=8}} | ||
{{MAA Notice}} | {{MAA Notice}} | ||
Revision as of 14:35, 11 February 2021
Problem
Tom has a collection of 
snakes, 
of which are purple and 
of which are happy. He observes that all of his happy snakes can add, none of his purple snakes can subtract, and all of his snakes that can't subtract also can't add. Which of these conclusions can be drawn about Tom's snakes?
Purple snakes can add.
Purple snakes are happy.
Snakes that can add are purple.
Happy snakes are not purple.
Happy snakes can't subtract.
Video Solution by Punxsutawney Phil
https://youtube.com/watch?v=MUHja8TpKGw&t=259s (Note that there's a slight error in the video I corrected in the description)
See also
| 2021 AMC 12A (Problems • Answer Key • Resources) | |
| Preceded by Problem 3 |
Followed by Problem 5 |
| 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 | |
| 2021 AMC 10A (Problems • Answer Key • Resources) | ||
| Preceded by Problem 6 |
Followed by Problem 8 | |
| 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. 
