1950 AHSME Problems/Problem 22
Problem
Successive discounts of and are equivalent to a single discount of:
Solution 1 (Kind of Lame)
Without loss of generality, assume something costs dollars. Then with each successive discount, it would cost dollars, then dollars. This amounts to a total of dollars off, so the single discount would be
Solution 2 (Technical)
Let the object cost dollars. After the discount, it's worth dollars. After a discount on that, it's worth dollars. Say the single discount is of . Then . So , or . So select .
~hastapasta
See Also
1950 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 21 |
Followed by Problem 23 | |
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 • 31 • 32 • 33 • 34 • 35 • 36 • 37 • 38 • 39 • 40 • 41 • 42 • 43 • 44 • 45 • 46 • 47 • 48 • 49 • 50 | ||
All AHSME Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.