SOLUTION: Nancy need 8 pounds of metal with 39% silver. If Nancy combines one metal with 19% silver, and another with 61% silver, how much of each metal does Nancy need?

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Question 1149942: Nancy need 8 pounds of metal with 39% silver. If Nancy combines one metal with 19% silver, and another with 61% silver, how much of each metal does Nancy need?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Same as so many other examples of this type

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8 pounds of metal with 39% silver. If Nancy combines one metal with 19% silver, and another with 61% silver, how much of each metal
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M pounds of metal with T% silver. If combines one metal with L% silver, and another with H% silver, how much of each metal
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y pounds of the H% material
M-y pounds of the L% material
Hy%2BL%28M-y%29=TM
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Hy%2BLM-Ly=TM
Hy-Ly=TM-LM
%28H-L%29y=M%28T-L%29
highlight_green%28y=M%28%28T-L%29%2F%28H-L%29%29%29

Substitute the given values.
y=8%28%2839-19%29%2F%2861-19%29%29

highlight%28y=3.81%29%2Apounds-----------of 61%, or H% silver
(3 pounds 13 ounces)

highlight%284.19%29pounds-----------of 19% silver, or L%