SOLUTION: A jeweler has six rings, each weighing 8 grams, made of an alloy of 10% silver and 90% gold. He decides to melt down the rings and add enough silver to reduce the gold content to 8

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Question 729274: A jeweler has six rings, each weighing 8 grams, made of an alloy of 10% silver and 90% gold. He decides to melt down the rings and add enough silver to reduce the gold content to 80%.
(a) Construct a model that gives the fraction G(x) of the new alloy that is pure gold. (Let x represent the number of grams of silver added.)
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
You look for amount of gold divided by amount of alloy.

Initially, amount of alloy is 6%2A8=48 grams. Amount of gold in the initial alloy is 0.90%2A48=43.2 grams.

Begin to construct the G(x) function.
Addition of x grams of silver changes the fraction of gold. This fraction may be represented as a decimal.
%2843.2%29%2F%2848%2Bx%29=G, where G is the fraction of alloy which is gold. We remind ourselves that G is a function of x.
highlight%28G%28x%29=%2843.2%29%2F%2848%2Bx%29%29.