SOLUTION: How many pounds of a certain alloy containing 35% silver must be melted with another alloy containing 65% silver to obtain 50 pounds of an alloy containing 50% silver?

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Question 277442: How many pounds of a certain alloy containing 35% silver must be melted with another alloy containing 65% silver to obtain 50 pounds of an alloy containing 50% silver?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
How many pounds of a certain alloy containing 35% silver must be melted with another alloy containing 65% silver to obtain 50 pounds of an alloy containing 50% silver?
let us mix x pounds of 35% alloy
So the 65% alloy mixed will be 50-x pounds

when added the mix is 50 pound and 50%
0.35x+0.65(50-x)=0.5*50
0.35x+32.5 - 0.65x = 25
-0.3x=-32.5+25
-0.3x= -7.5
x=7.5/0.3 = 25 pounds of 35% silver alloy