SOLUTION: A silversmith has two alloys, one containing 35% silver and the other 66% silver. How much of each should be melted and combined to obtain 100 grams of an alloy containing 45% silv

Question 344455: A silversmith has two alloys, one containing 35% silver and the other 66% silver. How much of each should be melted and combined to obtain 100 grams of an alloy containing 45% silver?
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Let A be the amount of 35% silver alloy, B the amount of 66% silver alloy.
Total weight equation:
1.
Total silver concentration equation:

2.
From eq. 1,

Substitute in eq. 2,

grams
.
.
.
Then from eq. 1,

grams

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