2020 AMC 10A Problems/Problem 3
Problem
Assuming ,
, and
, what is the value in simplest form of the following expression?
Solution
Note that is
times
. Likewise,
is
times
and
is
times
. Therefore, the product of the given fraction equals
.
Solution 2
Substituting values for , we see that if each of them satify the inequalities above, the value goes to be
.
Therefore, the product of the given fraction equals
.
Solution 3
It is known that for
. We use this fact to cancel out the terms.
~CoolJupiter
Video Solution
~IceMatrix
https://www.youtube.com/watch?v=7-3sl1pSojc
~bobthefam
~savannahsolver
See Also
2020 AMC 10A (Problems • Answer Key • Resources) | ||
Preceded by Problem 2 |
Followed by Problem 4 | |
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All AMC 10 Problems and Solutions |
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