SOLUTION: If 1kg of silver has the same value as 1.6 kg of gold, & 1kg of gold has the same value as 1.25kg of platinum, how much platinum has the same value as 1 kg of silver? Thanks

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: If 1kg of silver has the same value as 1.6 kg of gold, & 1kg of gold has the same value as 1.25kg of platinum, how much platinum has the same value as 1 kg of silver? Thanks      Log On

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Question 1023514: If 1kg of silver has the same value as 1.6 kg of gold, & 1kg of gold has the same value as 1.25kg of platinum, how much platinum has the same value as 1 kg of silver?
Thanks

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let price / kg of gold = +g+
Let price / kg of silver = +s+
Let price / kg of platinum = +p+
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(1) +1%2As+=+1.6%2Ag%0D%0A%282%29+%7B%7B%7B+1%2Ag+=+1.25p+
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(1) +1%2As+=+1.6g+
and
(2) +1.6%2A%28+1%2Ag+%29+=+1.6%2A%28+1.25p+%29+
(2) +1.6g+=+2p+
And, from (1)
+1%2As+=+2p+
So, 2 kg of platinum has the
same value as 1 kg of silver
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Note that the above equation is:
[ value of silver ] = [ value of platinum ]