1988 AHSME Problems/Problem 8
Contents
[hide]Problem
If and , what is the ratio of to ?
Solution 1
Since we are finding ratios, it would be helpful to put everything in terms of one variable. Since is in both equations, that would be a place to start. We manipulate the equations yielding and . Since we are asked to find the ratio of to , we need to find . We found the and in terms of so that means we can plug them in. We have: . Thus the answer is .
Solution 2
WLOG, let Thus, the answer is
See also
1988 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 7 |
Followed by Problem 9 | |
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 • 26 • 27 • 28 • 29 • 30 | ||
All AHSME Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.