SOLUTION: How many pounds of a metal containing 80% Nicole must be combined with 3 pounds of a metal containing 20% Nicole to form an alloy containing 62% nickel?

Question 908082: How many pounds of a metal containing 80% Nicole must be combined with 3 pounds of a metal containing 20% Nicole to form an alloy containing 62% nickel?
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
We have 3 lb of 20% alloy
We want to add some 80% alloy to make 62% alloy
0.8*x+0.2*3=0.62(3+x)
0.8*x+0.6=1.86+0.62x
0.8x-0.62x=1.86-0.6
0.18x=1.26
x=7 lb at 80% (5.6) is added to 3 lb at 20%(0.6) to make 62% of 10 lb(6.2)
check
0.8*7+0.2*3=0.62(3+7)
5.6+0.6=0.62(10)
6.2=6.2
ok

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