SOLUTION: How much silver valued at $4 per gram must be mixed with gold valued at $24 per gram to obtain 30 grams of alloy worth $12.00 per gram? Sat prep. Question. Ans. 18grams

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Question 304982: How much silver valued at $4 per gram must be mixed with gold valued at $24 per gram to obtain 30 grams of alloy worth $12.00 per gram?
Sat prep. Question.
Ans. 18grams

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
How much silver valued at $4 per gram must be mixed with gold valued at $24 per gram to obtain 30 grams of alloy worth $12.00 per gram?
Sat prep. Question.
Ans. 18grams
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Equations:
Quantity Eq:::: s + g = 30 grams
Value Eq::::::: 4s +24g = 12*30 dollars
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Solving by Elimination:
Divide thru the Value Eq. by 4 to get:
s + 6g = 90
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Subtract the Quantity Eq. from that to get:
5g =60
g = 12 grams (amt. of gold needed in the mixture)
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Since s+g = 30, s = 18 grams (amt. of silver needed in the mixture)
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Cheers,
Stan H.
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