Difference between revisions of "2020 AMC 8 Problems/Problem 15"
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==Solution 4== | ==Solution 4== | ||
− | + | WLOG, we can assume that <math>x=20</math> and <math>y=15</math> to make them equal. This means <math>\frac{y}{x}=\frac{15}{20}=\frac{75}{100}</math>, and thus answer is <math>\boxed{\textbf{(C) }75}</math>. | |
==Video Solution== | ==Video Solution== |
Revision as of 14:22, 25 November 2020
Problem
Suppose of
equals
of
What percentage of
is
Solution 1
Since , multiplying the given condition by
shows that
is
percent of
.
Solution 2
Letting (without loss of generality), the condition becomes
. Clearly, it follows that
is
of
, so the answer is
.
Solution 3
We have and
, so
. Solving for
, we multiply by
to give
, so the answer is
.
Solution 4
WLOG, we can assume that and
to make them equal. This means
, and thus answer is
.
Video Solution
See also
2020 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 14 |
Followed by Problem 16 | |
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 | ||
All AJHSME/AMC 8 Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.