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Ierofanga [76]
3 years ago
5

A metalworker has a metal alloy that is 30​% copper and another alloy that is 55​% copper. How many kilograms of each alloy shou

ld the metalworker combine to create 80 kg of a 45​% copper​ alloy?
Mathematics
1 answer:
Ilya [14]3 years ago
4 0
<h3>Answer:</h3>
  • 32 kg of 30% copper
  • 48 kg of 55% copper
<h3>Step-by-step explanation:</h3>

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.

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