Difference between revisions of "2020 AMC 8 Problems/Problem 15"
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- StarryNight7210 | - StarryNight7210 | ||
+ | ==Video Solution== | ||
+ | https://youtu.be/mjS-PHTw-GE | ||
+ | |||
+ | ~savannahsolver | ||
==See also== | ==See also== | ||
{{AMC8 box|year=2020|num-b=14|num-a=16}} | {{AMC8 box|year=2020|num-b=14|num-a=16}} | ||
{{MAA Notice}} | {{MAA Notice}} |
Revision as of 18:18, 19 November 2020
Suppose of
equals
of
What percentage of
is
Contents
Solution 1
Multiply by to get
. The
here can be converted to
. Therefore,
is the answer.
Solution 2
Letting , our equation becomes
. Clearly,
is
of
and the answer is
.
~junaidmansuri
Solution 3
Let us transform the first sentence to an equation. and
So,
Therefore,
and
hence
.
--Aops-g5-gethsemanea2
Solution 4
We are given that . Multiplying both sides by
and dividing by
tells us that
.
-franzliszt
Solution 5
We know that . Therefore, we can just assume that
and
, which means that
, so our answer is
.
- StarryNight7210
Video Solution
~savannahsolver
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.