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

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) (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 grams. Amount of gold in the initial alloy is 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.
, where G is the fraction of alloy which is gold. We remind ourselves that G is a function of x.
.
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