SOLUTION: A goldsmith has two alloys that are different purities of gold. The first is three-fourths pure gold and the second is five-twelfths pure gold. How many ounces of each should be

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Question 874916: A goldsmith has two alloys that are different
purities of gold. The first is three-fourths pure gold
and the second is five-twelfths pure gold. How many
ounces of each should be melted and mixed in order to obtain a 6oz mixture that is two-thirds pure gold?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Two-Part Mixture Problem, using rational fractions as concentration values.

Let u = the lower gold content alloy
Let v = the higher gold content alloy

%28%285%2F12%29u%2B%283%2F4%29v%29%2F6=2%2F3 and u%2Bv=6.
Two linear equations in two unknown variables.