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a metalworker has a metal alloy thay is 25% copper and another alloy that is 60% copper. how many kilograms of each alloy shoul...Asked by GlassHalfEmpty
A metalworker has a metal alloy that is 30% copper and another alloy that is 55% copper. How many kilograms of each alloy should the metalworker combine to create 80kg of a 45% copper alloy?
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Answered by
GlassHalfFull
Answer:
32 kg of 30% copper
48 kg of 55% copper
Step-by-step explanation:
Let x represent the mass of 55% copper alloy that is to be used in the mix. Then 80-x is the mass of 30% copper alloy to be used. The total amount of copper in the mix is then ...
... 0.55x + 0.30(80-x) = 0.45·80
... 0.25x = 12 . . . . . . simplify, subtract 24
... x = 48 . . . . . . . . . divide by the coefficient of x
... 80-x = 32 . . . . . . the mass of 30% copper alloy required
The metalworker should combine 32 kg of 30% copper alloy with 48 kg of 55% copper alloy to make 80 kg of 45% copper alloy.
32 kg of 30% copper
48 kg of 55% copper
Step-by-step explanation:
Let x represent the mass of 55% copper alloy that is to be used in the mix. Then 80-x is the mass of 30% copper alloy to be used. The total amount of copper in the mix is then ...
... 0.55x + 0.30(80-x) = 0.45·80
... 0.25x = 12 . . . . . . simplify, subtract 24
... x = 48 . . . . . . . . . divide by the coefficient of x
... 80-x = 32 . . . . . . the mass of 30% copper alloy required
The metalworker should combine 32 kg of 30% copper alloy with 48 kg of 55% copper alloy to make 80 kg of 45% copper alloy.
Answered by
GlassHalfEmpty
thank you person who stole my name! i could not for the life of me figure this out my brain was hurting bad
Answered by
GlassHalfFull
I didnt steal your name, i stole it then altered it.....😏
Answered by
GlassHalfFull
I borrowed it......
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