A goldsmith combined pure gold that cost $400 per ounce with an alloy of gold that cost $150 per ounce. How many ounces of each were used to make 50 ounces of gold alloy costing $250 per ounce?
Veronique
January 22, 2010
How many ounces of each were used to make 50 ounces of gold alloy costing $250 per ounce?
A goldsmith combined pure gold that cost $400 per ounce with an alloy of gold that cost $150 per ounce. How many ounces of each were used to make 50 ounces of gold alloy costing $250 per ounce?
Veronique
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Gold is gold is alloy 50 plug into the second equation and theres your answer.
The second equation for and theres your answer.
Comment by dontcachfire — January 25, 2010 @ 3:53 am
Weight : x + y = 50
Cost: 400x + 150y = 250 x 50
Mutilply first equation by 150, and subtract that equation from second:
(400-150)x = 12500 – 7500
250x = 5000
x = 20
y = 30
check 400 x 20 + 150 x 30 = 250 x 50
8000 + 4500 = 12500 Yup!
Grandpa
Comment by Computer Guy — January 27, 2010 @ 10:26 pm