Difference between revisions of "1993 UNCO Math Contest II Problems/Problem 1"
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== Problem == | == Problem == | ||
| − | How many times must one shoot at this target, and which rings must one hit in order to score exactly <math>100</math> points | + | How many times must one shoot at this target, and which rings must one hit in order to score exactly <math>100</math> points? |
<asy> | <asy> | ||
Revision as of 00:09, 20 January 2023
Problem
How many times must one shoot at this target, and which rings must one hit in order to score exactly 
points?
![[asy] draw(circle((0,0),1),black); draw(circle((0,0),2),black); draw(circle((0,0),3),black); draw(circle((0,0),4),black); draw(circle((0,0),5),black); draw(circle((0,0),6),black); MP("40",(0,0-.3),N); MP("39",(0,1-.1),N); MP("24",(0,2-.1),N); MP("23",(0,3-.1),N); MP("17",(0,4-.1),N); MP("16",(0,5-.1),N); [/asy]](http://latex.artofproblemsolving.com/c/a/9/ca92e43d47d5fa16d0bd1cd84cb92dee8d52e9d8.png)
Solution 1
We can try combinations of numbers that add to . We soon find that one must shoot at the target 
times and hit the 
ring 
times and hit the 
ring 
times.
See also
| 1993 UNCO Math Contest II (Problems • Answer Key • Resources) | ||
| Preceded by First Question |
Followed by Problem 2 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 | ||
| All UNCO Math Contest Problems and Solutions | ||
