SOLUTION: I'm taking on online class and I can't figure this out. please help me. how much of an alloy that is 30% copper should be mixed with 500 ounces of an alloy that is 70% copper in

Question 345140: I'm taking on online class and I can't figure this out. please help me.
how much of an alloy that is 30% copper should be mixed with 500 ounces of an alloy that is 70% copper in order to get an alloy that is 40% copper?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
How much of an alloy that is 30% copper should be mixed with 500 ounces of an alloy that is 70% copper in order to get an alloy that is 40% copper?
:
Let x = amt of 30% copper alloy
:
Write a decimal equiv equation
:
.30x + .70(500) = .40(x + 500)
:
.30x + 350 = .40x + 200
:
350 - 200 = .40x - .30x
:
150 = .10x
x =
x = 1500 oz of 30% copper required
:
:
Check solution in original equation
.30(1500) + .70(500) = .40(1500 + 500)
450 + 350 = .40(2000)
800 = 800, confirms our solution of x = 1500
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