"A metalworker has a metal alloy that is 25​% copper and another alloy that is 60​% copper. How many kilograms of each alloy should the metalworker combine to create 50 kg of a ​53% copper​ alloy?"

Question



Answer 1

x(75+25c)

y(40+60c)

=53c

There's different combinations. How do I get 50kg?

Answer 2

X+y = 50

0.25x + 0.6y = 0.53(50) = 26.5

0.25x + 0.6(50-x) = 26.5

0.25x + 30 - 0.6x = 26.5

-0.35x = -3.5

35x = 350

x = 10

y = 40