SOLUTION: A metalworker has a metal alloy that is 20​% copper and another alloy that is 70​% copper. How many kilograms of each alloy should the metalworker combine to create 90
Algebra.Com
Question 1108002: A metalworker has a metal alloy that is 20% copper and another alloy that is 70% copper. How many kilograms of each alloy should the metalworker combine to create 90 kg of a 50% copper alloy?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A metalworker has a metal alloy that is 20% copper and another alloy that is 70% copper. How many kilograms of each alloy should the metalworker combine to create 90 kg of a 50% copper alloy?
-----
Quantity Eq:: t + s = 90 kg
Copper Eq:: 0.2t+0.7s = 0.5*90
----------------------------
Modify::
t + s = 90
2t + 7s = 5*90
--------
Modify for elimination::
2t + 2s = 2*90
2t + 7s = 5*90
------------------
Subtract and solve for "s":
5s = 3*90
s = 3*18
s = 54 kg (amt. of 7% alloy needed)
----
t = 90-s = 36 kg (amt. of 20% alloy needed)
-----------
Cheers,
Stan H.
------------
RELATED QUESTIONS
A metalworker has a metal alloy that is 25% copper and another alloy that is... (answered by josgarithmetic)
metalworker has a metal alloy that is 3030% copper and another alloy that is... (answered by josgarithmetic)
A metalworker has a metal alloy that is 20% copper and another alloy that is... (answered by josgarithmetic)
A metalworker has a metal alloy that is 30% copper and another that is 70% copper how... (answered by richwmiller)
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 80% copper. (answered by lwsshak3)
a metalworker has a metal alloy that is 20% copper and another alloy that is 60%... (answered by Boreal,ikleyn)
A metalworker has a metal alloy that is 20% copper and another alloy that is 70%... (answered by Solver92311,greenestamps)
a metalworker has meal alloy that is 15% copper and another alloy that is 60% copper. how (answered by josgarithmetic)