A metalworker has a metal alloy that is 15% copper and another alloy that is 75% copper. How many kilograms of each alloy should the metal worker combine to create 90 kilograms of a 51% copper alloy?

Question

Mathematics

Brenton Giles

20 April, 01:31

A metalworker has a metal alloy that is 15% copper and another alloy that is 75% copper. How many kilograms of each alloy should the metal worker combine to create 90 kilograms of a 51% copper alloy?

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Answers (1)

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Winston Osborn · Answer 1

X + y = 90

y = 90 - x

0.15 x + 0.75 y = 0.51 (90)

0.15 x + 0.75 (90-x) = 0.51 (90)

0.15x + 67.5 - 0.75x = 45.9

21.6 = 0.6 x

x = 36 kg - - 15% Cu

y = 90 - x

y = 90 - 36

y = 54 kg - - 75% Cu