SOLUTION: a metal worker has a 30% copper and another alloy that is 60% copper. how many killograms of each alloy should the metal worker combine to create 80 kg of a 48% copper alloy

Question 1007274: a metal worker has a 30% copper and another alloy that is 60% copper. how many killograms of each alloy should the metal worker combine to create 80 kg of a 48% copper alloy
Found 2 solutions by Edwin McCravy, lwsshak3:
Answer by Edwin McCravy(20054) (Show Source): You can put this solution on YOUR website!

Let the number of kgs. of Alloy1 be x Let the number of kgs. of Alloy2 be y Number Type Number Percent of kg of of kg which is of copper coin of metal copper in each ------------------------------------------- Alloy1 x 0.30 0.30x Alloy2 y 0.60 0.60y ------------------------------------------- mixture 80 0.48 0.48(80) The first equation comes from the second column. x + y = 80 The second equation comes from the last column. 0.3x + 0.6y = 0.48(80) 0.3x + 0.6y = 38.4 Get rid of decimals by multiplying every term by 10: 3x + 6y = 384 So we have the system of equations: . We solve by substitution. Solve the first equation for y: x + y = 80 y = 80 - x Substitute (80 - x) for y in 30x + 60y = 3840 3x + 6(80 - x) = 384 3x + 480 - 6x = 384 -3x + 480 = 384 -3x = -96 x = 32 = the number of kg. of Alloy1. Substitute in y = 80 - x y = 80 - 32 = 48 kg. of Alloy2. Edwin

Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
a metal worker has a 30% copper and another alloy that is 60% copper. how many killograms of each alloy should the metal worker combine to create 80 kg of a 48% copper alloy
let x=amt of 30% alloy to use
80-x=amt of 60% alloy to use
30%x+60%(80-x)=48%*80
.30x+48-.60x=38.4
.30x=9.6
x=32
80-x=48
amt of 30% alloy to use=32 kg
amt of 60% alloy to use=48 kg
RELATED QUESTIONS
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% 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)
A metal worker has a metal alloy that 30% copper and another one is 55% copper. how many... (answered by stanbon)
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%... (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 a metal alloy that is 20% copper and another alloy that is... (answered by stanbon)
metalworker has a metal alloy that is 3030% copper and another alloy that is... (answered by josgarithmetic)