In the movie "Perfect Score" (Paramount 2004), the following SAT problem appears:
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"A ten quart mixture consists by volume of one
part juice and 9 parts water. If x quarts of
uice and y quarts of water are added to this
mixture to make a 27 quart mixture that consists
by volume of one part jice to two parts water, what
is the value of x? "
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The problem can be summarized as solving the
following system of equations for the three variables x,y,z:
z/27 = (1+x)/(10+x+y) = 1/3
from which one can see that z=9 and so 9=1+x
implying x=8.
Proceeding more formally one could rewrite the problem as
10+x+y = 27
3(1+x) = 10+x+y
which is a system of linear equations.
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