A metalworker has a metal alloy that is 25 % copper and another alloy that is 70 % copper. How many kilograms of each alloy should the metalworker combine to create 100 kg of a 61 % copper alloy?

Question

Mathematics

Quentin

13 September, 17:45

A metalworker has a metal alloy that is 25 % copper and another alloy that is 70 % copper. How many kilograms of each alloy should the metalworker combine to create 100 kg of a 61 % copper alloy?

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Answers (2)

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Hallie Boyle · Answer 1

Step-by-step explanation:

let 25 % copper=x kg

75 % copper = (100-x) kg

0.25 x + (100-x) * 0.75=100*0.61

25x+7500-75 x=6100

-50 x=-1400

50 x=1400

5x=140

x=28

25 % of Copper=28 kg

75 % of Copper=100-28=72 kg

Karina Luna · Answer 2

28kg for copper