1993 UNCO Math Contest II Problems/Problem 1
Contents
[hide]Problem
How many times must one shoot at this target, and which rings must one hit in order to score exactly points?
Solutions
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.
Solution 2
Since , we can take
and
of the
numbers. From
we have the set (in order)
, and from
we have the set
. We notice that as
is
times
, we probably have two times more
s than
s, and it works perfectly, so one has to shoot the
ring
times and 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 |