Difference between revisions of "2021 AMC 12B Problems/Problem 25"
(Created page with "==Problem== Let <math>S</math> be the set of lattice points in the coordinate plane, both of whose coordinates are integers between <math>1</math> and <math>30</math>, inclusi...") |
|||
| Line 3: | Line 3: | ||
<math>\textbf{(A)} ~31 \qquad\textbf{(B)} ~47 \qquad\textbf{(C)} ~62 \qquad\textbf{(D)} ~72 \qquad\textbf{(E)} ~85</math> | <math>\textbf{(A)} ~31 \qquad\textbf{(B)} ~47 \qquad\textbf{(C)} ~62 \qquad\textbf{(D)} ~72 \qquad\textbf{(E)} ~85</math> | ||
| + | |||
==Solution== | ==Solution== | ||
| + | {{solution}} | ||
| + | |||
| + | ==See Also== | ||
| + | {{AMC12 box|year=2021|ab=B|num-b=24|after=Last Problem}} | ||
| + | {{MAA Notice}} | ||
Revision as of 21:02, 11 February 2021
Problem
Let 
be the set of lattice points in the coordinate plane, both of whose coordinates are integers between 
and 
, inclusive. Exactly 
points in lie on or below a line with equation 
. The possible values of 
lie in an interval of length 
, where 
and 
are relatively prime positive integers. What is 
Solution
This problem needs a solution. If you have a solution for it, please help us out by adding it.
See Also
| 2021 AMC 12B (Problems • Answer Key • Resources) | |
| Preceded by Problem 24 |
Followed by Last Problem |
| 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 | |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
