Question 1175417
Ounces of $4.30 alloy = x
Ounces of $1.80 alloy = y
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Make two equations:
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x + y = 200
4.30x + 1.80y = 200(2.35)
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Simplify second equation:
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4.30x + 1.80y = 470
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Here are your two equations:
<pr>
x + y = 200
4.30x + 1.80y = 470
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Multiply first equation by -1.80:
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-1.80x - 1.80y = -360
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Here are your two equations:
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-1.80x - 1.80y = -360
4.30x + 1.80y = 470
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Add both equations together:
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2.50x = 110
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Solve for x:
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x = 44
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Plug x = 44 into the original first equation to find y:
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x + y = 200
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44 + y = 200
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y = 156
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Ounces of $4.30 alloy = x = <b>44</b>
Ounces of $1.80 alloy = y = <b>156</b>