2020 AMC 10B Problems/Problem 3
Problem 3
The ratio of to
is
, the ratio of
to
is
, and the ratio of
to
is
. What is the ratio of
to
?
Solution 1
WLOG, let and
.
Since the ratio of to
is
, we can substitute in the value of
to get
.
The ratio of to
is
, so
.
The ratio of to
is then
so our answer is
~quacker88