Step 1 :Given the ratio of tin, copper, and silver as \(7:5:3\) and there are \(48\mathrm{~g}\) of copper.
Step 2 :Find the total parts in the alloy: \(7+5+3=15\).
Step 3 :Find the value of one part: \(\frac{48}{5}=9.6\).
Step 4 :Find the amount of tin needed: \(7\times9.6=67.2\mathrm{~g}\).
Step 5 :Find the amount of silver needed: \(3\times9.6=28.8\mathrm{~g}\).
Step 6 :\(\boxed{\text{To make the alloy, 67.2g of tin and 28.8g of silver are needed.}}\)