2014 AMC 10B Problems/Problem 7
Contents
Problem
Suppose and A is
% greater than
. What is
?
Solution
We have that A is greater than B, so
. We solve for
. We get
.
Solution 2
The question is basically asking the percentage increase from to
. We know the formula for percentage increase is
. We know the new is
and the original is
. We also must multiple by
to get
out of it's fractional/decimal form. Therefore, the answer is
or
.
Solution 3 (Answer Choices)
Without loss of generality, let and
forcing
to be
. Plugging our values for
and
into these answer choices, we find that only
returns
.
Video Solution
~savannahsolver
See Also
2014 AMC 10B (Problems • Answer Key • Resources) | ||
Preceded by Problem 6 |
Followed by Problem 8 | |
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All AMC 10 Problems and Solutions |
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