SOLUTION: Pure copper was mixed with a 12% alloy to produce an alloy that was 20% copper. How much of the pure copper and how much 12% alloy were used to produce 132 kg of the 20% alloy? Ple

Question 551616: Pure copper was mixed with a 12% alloy to produce an alloy that was 20% copper. How much of the pure copper and how much 12% alloy were used to produce 132 kg of the 20% alloy? Please help me understand this problem!!
Answer by Maths68(1474) (Show Source): You can put this solution on YOUR website!
Alloy A
--------
Amount = x
Concentration =100% =1 (It is pure copper so concentration will be 100%)

Alloy B
-------
Amount = 132-x
Concentration =12% = 0.12

Resultant Alloy
---------------
Amount =132
Concentration =20%=0.2

[Amount Alloy A * Concentration A] + [Amount Alloy B * Concentration of B] = Amount of Resultant * Concentration of resultant
(x)(1)+(132-x)(0.12)=(132)(0.2)
x+15.84-0.12x=26.4
0.88x+15.84=26.4
0.88x=2.64-15.84
0.88x=10.56
0.88x/0.88=10.56/0.88
x=12

Alloy A
--------
Amount = x = 12kg
Concentration =100% =1 (It is pure copper so concentration will be 100%)
Alloy B
-------
Amount = 132-x = 132-12 = 120kg
Concentration =12% = 0.12

12kg of pure copper and 120kg of 12% alloy will be used to produce 132 kg of the 20% alloy.

RELATED QUESTIONS
Pure copper was mixed with a 12% copper alloy to produce an alloy that was 32% copper.... (answered by mananth)

Here is my problem. Its hard. Pure copper was mixed with a 10% copper alloy to produce (answered by scott8148)

Pure copper was mixed with a 23% copper alloy to produce an alloy that was 32% copper.... (answered by checkley71)

Hello, I was wondering if you could help me with this math problem. The question is "Pure (answered by ptaylor,jim_thompson5910)

How much pure copper must be added to 50 kg of an alloy containing 12% copper to raise... (answered by lwsshak3,josmiceli)

A metallurgist needs to produce 10kg of an alloy which is 65% copper and 35% tin. He has... (answered by mananth)

Please help, 36g of an alloy of copper and zinc contains 45% copper. How much pure... (answered by ankor@dixie-net.com)

Please help me solve the problem: Pure tin was mixed with an 8% tin alloy to produce an... (answered by lwsshak3)

Here is my problem as written in my homework: A metallurgist needs to produce 10kg of an (answered by lwsshak3)