SOLUTION: A metalworker has a metal alloy that is 30% copper and another that is 70% copper how many kilograms of each alloy should the metalworker combine to create 50kg of a 62% copper all

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Question 900309: A metalworker has a metal alloy that is 30% copper and another that is 70% copper how many kilograms of each alloy should the metalworker combine to create 50kg of a 62% copper alloy?
thanks for the help
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
a+b=50,
0.3*a+0.7*b=0.62*50
a=50-b
0.3*(50-b)+0.7*b=31
15-0.3b+0.7*b=31
0.4*b=16
b=40
a=50-b
a=10 at 30% b=40 at 70%
check
0.3*10+0.7*40=0.62*50
3+28=31
31=31
ok