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If you need a 50 lbs alloy that is 50% nickel, how many lbs of alloy that is 80% nickel and 40% nickel is to be added to make a 10% nickel alloy?

Sagot :

Yankeriiiidn

To create a 50 lbs alloy that is 50% nickel, we can use the method of weighted averages. Let x represent the amount of 80% nickel alloy (let's call this Alloy A) that needs to be added, and 50 - x represent the amount of 40% nickel alloy (let's call this Alloy B) needed.

The equation representing the nickel content in the final alloy can be expressed as:

0.8x + 0.4(50 - x) = 0.1(50)

Solving this equation gives us x = 20.

Therefore, 20 lbs of the 80% nickel alloy and 30 lbs of the 40% nickel alloy need to be added to create a 50 lbs alloy that is 50% nickel. This process ensures that the desired nickel content of 10% in the final alloy is achieved.

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