SOLUTION: How many ounces of pure gold that costs $450 an ounce must be mixed with 75 ounces of an alloy that costs $200 an ounce to make an alloy that costs $300 an ounce?

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Question 375177: How many ounces of pure gold that costs $450 an ounce must be mixed with 75 ounces of an alloy that costs $200 an ounce to make an alloy that costs $300 an ounce?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let x ounce of gold be mixed.
gold $450 -------- x ounce
alloy $200--------75 ounce
Mix $300----------(x+75)
...
450x + 200*75 = 300(x+75)
450x+15000=300x+22500
450x-300x=22500-15000
150x=7500
/150
x=7500/150
x=50 ounces of pure gold.
...
m.ananth@hotmail.ca