
Walter L. answered 04/21/16
Tutor
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Science and Mathematics for High School and Continuing Education
The key to this sort of problem is to realize that the ratio of the platinum mass to the total mass is given by 5:(sum), or 5:18.
At this point, the answer can be calculated as a fractional equality.
5/18 = x/189
cross-multiplying generates
18x = 945
and solving for x gives the answer of
52.5 pounds. This is reasonable, since the initial setup indicates that platinum is a bit less than a third of the total weight.