Mathematics: And ! a metalworker has a metal alloy that is 30% copper and another alloy that is 60% copper. how many kilograms of each alloy should the metalworker combine to create 100 kg of a 54% copper alloy?

And ! a metalworker has a metal alloy that is

Ответ:

eric8020

05.01.2022

Let be the amount of the 30% alloy and the amount of the 60% alloy the metalworker will use. However much is used, the final alloy will have a mass of

x+y=100

kilograms. For each kg of the 30% alloy used, 0.3 kg is copper; similary, each kg of the 60% alloy contributes 0.6 kg, so that

0.3x+0.6y=0.54(x+y)=54

Now,

$x+y=100\implies y=100-x$

$\implies0.3x+0.6(100-x)=54$

$\implies60-0.3x=54$

$\implies0.3x=6$

$\implies x=20$

$\implies y=100-20=80$

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Ответ:

lifeofabe214

11.05.2022

Mathematics

12. x = 3, -8

13. x = 6

Step-by-step explanation:

i plugged these formulas into the website math-way

12. ( $x^{2}$ +94)+(5x+62)=180

13. 6x+4=8x-8

hope this helps :)

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And !

a metalworker has a metal alloy that is 30% copper and another alloy that is 60% copper. how many kilograms of each alloy should the metalworker combine to create 100 kg of a 54% copper alloy?

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