SOLUTION: A goldsmith combined an alloy that costs $4.30 per ounce with an alloy that costs $1.80 per ounce. How many ounces of each were used to make a mixture of 200 oz costing $2.35 per o
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Question 1175417: A goldsmith combined an alloy that costs $4.30 per ounce with an alloy that costs $1.80 per ounce. How many ounces of each were used to make a mixture of 200 oz costing $2.35 per ounce?
Answer by VFBundy(438) (Show Source): You can put this solution on YOUR website!
Ounces of $4.30 alloy = x
Ounces of $1.80 alloy = y
Make two equations:
x + y = 200
4.30x + 1.80y = 200(2.35)
Simplify second equation:
4.30x + 1.80y = 470
Here are your two equations:
x + y = 200
4.30x + 1.80y = 470
Multiply first equation by -1.80:
-1.80x - 1.80y = -360
Here are your two equations:
-1.80x - 1.80y = -360
4.30x + 1.80y = 470
Add both equations together:
2.50x = 110
Solve for x:
x = 44
Plug x = 44 into the original first equation to find y:
x + y = 200
44 + y = 200
y = 156
Ounces of $4.30 alloy = x = 44
Ounces of $1.80 alloy = y = 156
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