Question

A silversmith combined pure silver that cost $33.48 per ounce with 51 oz of a silver alloy that cost $24.35 per ounce. How many ounces of pure silver were used to make an alloy of silver costing $27.87 per ounce?

Answer 1

Answer:

$38.31

Step-by-step explanation:

Given:

Pure silver that cost $33.48 per ounce used to form $24.35 alloy/ounce.

Question asked:

How many ounces of pure silver were used to make an alloy of silver costing $27.87 per ounce?

Solution:

At cost $24.35/ounce, pure silver is mixed = $33.48

At cost $1/ounce, pure silver is mixed = $\frac{33.48}{24.35}$

At cost $27.87/ounce, pure silver is mixed = $\frac{33.48}{24.35}$$\times 27.87 = \frac{933.08}{24.35} = 38.31$

Thus, $38.31 ounces of pure silver were used to make an alloy of silver costing $27.87 per ounce.