SOLUTION: 40g alloy containing 35% gold to be melted with 20g alloy containing 50% gold. how much % of gold resulting from alloy??

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Question 588212: 40g alloy containing 35% gold to be melted with 20g alloy containing 50% gold. how much % of gold resulting from alloy??
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
40g alloy containing 35% gold to be melted with 20g alloy containing 50% gold.
how much % of gold resulting from alloy??
;
Let x = resulting per cent of gold in decimal form
:
Write an amt of gold equation:
:
.35(40) + .50(20) = x(40+20)
14 + 10 = 60x
24 = 60x
x = 24%2F60
x = .4 * 100 = 40% gold is the results
:
:
Check this using the amt of gold equation
.35(40) + .50(20) = .40(40+20)
14 + 10 = 24