SOLUTION: A metalworker has a metal alloy that is 20% copper and another alloy that is 60% copper. How many kilograms of each alloy should the metal worker combine to create 80kg of a 44% co
Algebra.Com
Question 1014604: A metalworker has a metal alloy that is 20% copper and another alloy that is 60% copper. How many kilograms of each alloy should the metal worker combine to create 80kg of a 44% copper alloy?
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
.
T=amount of 20% alloy; S=amount of 60% alloy
.
T+S=80
T=80-S
.
0.20T+0.60S=0.44(80)
0.20(80-S)+0.60S=35.2
16.0-0.20S+0.60S=35.2
0.40S=19.2
S=48
ANSWER 1: He should use 48 kg of 60% alloy.
.
T=80-S=80-48=32
ANSWER 2: He should use 32 kg of 20% alloy.
.
CHECK:
0.20T+0.60S=0.44(80)
0.20(32)+0.60(48)=35.2
6.4+28.8=35.2
35.2=35.2
.
RELATED QUESTIONS
A metalworker has a metal alloy that is 20% copper and another alloy that is... (answered by stanbon)
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 25% copper and another alloy that is... (answered by josgarithmetic)
a metalworker has meal alloy that is 15% copper and another alloy that is 60% copper. how (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 20% copper and another alloy that is 70%... (answered by Solver92311,greenestamps)
A metalworker has a metal alloy that is 30% copper and another that is 70% copper how... (answered by richwmiller)