SOLUTION: A metal alloy is 25% copper. Another metal alloy is 50% copper. How much of each alloy should be mixed to create 1000 grams of an alloy that is 45% copper?
Algebra.Com
Question 63752: A metal alloy is 25% copper. Another metal alloy is 50% copper. How much of each alloy should be mixed to create 1000 grams of an alloy that is 45% copper?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A metal alloy is 25% copper. Another metal alloy is 50% copper. How much of each alloy should be mixed to create 1000 grams of an alloy that is 45% copper?
------------
Let amount of 25% alloy be "x" ; amount of copper in it is 0.25x grams
Amount of 50% alloy is "1000-x" ;
amount of copper is 0.5(1000-x)=500-0.5x grams
Amount of mixture is 1000 grams; amount of copper is .45(1000)=450 grams
-----------
EQUATION:
copper + copper = copper
0.25x+500-0.5x=450
-0.25x=-50
x=200 grams (amount of 25% alloy)
1000-x=800 grams (amount of 50% alloy)
--------
Cheers,
Stan H.
RELATED QUESTIONS
A metal alloy is 25% copper. Another metal alloy is 50% copper. How many grams of the 50% (answered by mathmate)
A metal alloy is 25% copper. Another metal alloy is 50% copper. How much of each should... (answered by mananth)
A metal alloy is 35% copper. Another metal alloy is 50% copper. How much of each alloy... (answered by jorel1380,ankor@dixie-net.com,ikleyn)
A metalworker has a metal alloy that is 25% copper and another alloy that is... (answered by josgarithmetic)
An alloy is a metal made by combining two or more metallic elements. A certain metal... (answered by lynnlo,ankor@dixie-net.com)
Solve Problems Using Linear Systems
14. A metal alloy is 25% copper. Another metal alloy (answered by checkley77)
A metalworker has a metal alloy that is 20% copper and another alloy that is... (answered by stanbon)
A metalworker has a metal alloy that is 20% copper and another alloy that is 60% copper.... (answered by macston)
A metal worker has a metal alloy that is 30% copper and another alloy that is 70% copper (answered by fractalier,josgarithmetic)