1993 UNCO Math Contest II Problems/Problem 1


How many times must one shoot at this target, and which rings must one hit in order to score exactly $100$ 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]

Solution 1

We can try combinations of numbers that add to $100$. We soon find that one must shoot at the target $6$ times and hit the $16$ ring $2$ times and hit the $17$ ring $4$ times.

See also

1993 UNCO Math Contest II (ProblemsAnswer KeyResources)
Preceded by
First Question
Followed by
Problem 2
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All UNCO Math Contest Problems and Solutions
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