1997 AHSME Problems/Problem 4
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Contents
Problem
If is
larger than
, and
is
larger than
, then
is what percent larger than
?
Solution 1
Translating each sentence into an equation, and
.
We want a relationship between and
. Dividing the second equation into the first will cancel the
, so we try that and get:
In this case, is
bigger than
, and the answer is
.
Solution 2
Arbitrarily assign a value to one of the variables. Since is the smallest variable, let
.
If is
larger than
, then
.
If is
larger than
, then
.
We see that So,
is
bigger than
, and the answer is
.
See also
1997 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 3 |
Followed by Problem 5 | |
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 • 26 • 27 • 28 • 29 • 30 | ||
All AHSME Problems and Solutions |