Answer: There are 180 milligrams of gold in the alloy.
Step-by-step explanation: We know that for every 4 milligrams of copper, there are 15 milligrams of gold.
if 48 milligrams of copper are used, we can separate them in "sets" of 4 milligrams.
We have 48/4 = 12 sets.
And for each one of these 12 sets, there are 15 milligrams of gold, then the total amount of gold in the alloy is:
12*15mg = 180 mg