SOLUTION: Make a crown of gold, copper, tin, and iron weighing 60 minae: gold and copper shall be two-thirds of it; gold and tin three-fourths of it; and gold and iron three-fifths of it:

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Question 316496: Make a crown of gold, copper, tin, and iron weighing 60 minae: gold and copper shall be two-thirds of it; gold and tin three-fourths of it; and gold and iron three-fifths of it: Find the weights of gold, copper, tin and iron required.
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
Let G be the amount of gold, C copper, T tin, I iron.
1.
2.
3.
4.
From eq. 2,

From eq. 3,

From eq. 4,

Now substitute all of those expressions into eq. 1 to solve for G.




Now go back to each equation to solve for the other variables,







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