Difference between revisions of "2019 AMC 12A Problems/Problem 2"
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Since <math>a=1.5b</math>, that means <math>b=a/1.5</math>. We multiply by 3 to get a <math>3b</math> term, to yield <math>3b=2a</math>. | Since <math>a=1.5b</math>, that means <math>b=a/1.5</math>. We multiply by 3 to get a <math>3b</math> term, to yield <math>3b=2a</math>. | ||
− | <math>2a</math> is <math>\boxed{200\%}</math> of <math>a</math>. | + | <math>2a</math> is <math>\boxed{\textbf{(D) }200\%}</math> of <math>a</math>. |
-- eric2020 | -- eric2020 |
Revision as of 23:37, 14 February 2019
Contents
Problem
Suppose is
of
. What percent of
is
?
Solution 1
Since , that means
. We multiply by 3 to get a
term, to yield
.
is
of
.
-- eric2020
Solution 2
WLOG, let . Then, we have
and
. Thus,
so
is
or
so the answer is
.
-21jzhang
Solution 3 (Like Solution 1)
. Multiply by 2 to obtain
. Since
, the answer is
.
-DBlack2021
Solution 4 (Like Solution 2)
WLOG, let . Then, we have
and
. Thus,
so
is
of
so the answer is
.
See Also
2019 AMC 12A (Problems • Answer Key • Resources) | |
Preceded by Problem 1 |
Followed by Problem 3 |
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 AMC 12 Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.