SOLUTION: You have 10lbs of an element which costs $100/lb. You wish to create an alloy with it and a material whose value is $5 a pound. The resulting mix should be valued at $20/pound. Ass

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Question 693569: You have 10lbs of an element which costs $100/lb. You wish to create an alloy with it and a material whose value is $5 a pound. The resulting mix should be valued at $20/pound. Assuming you use all of the expensive stuff, how much of the less expensive material should you use?
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
This is really a mixture & composition problem.

Using g as the number of pounds of the cheaper metal to add,
and already knowing you want to add it to 10 pounds of the expensive metal and make a result of 20 dollars per pound,

%2810%2A100%2Bg%2A5%29%2F%2810%2Bg%29=20

Find g.

1000%2B5g=20%2810%2Bg%29
1000-200=15g
g=800%2F15
highlight%28g=53%261%2F3%29