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

$38.31

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 =
`(33.48)/(24.35)`

At cost $27.87/ounce, pure silver is mixed =
`(33.48)/(24.35)`
`* 27.87 = (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.