Answered

IDNStudy.com, kung saan ang iyong mga tanong ay natutugunan ng mga eksperto. Magtanong at makakuha ng detalyadong sagot mula sa aming komunidad ng mga eksperto na may kaalaman.

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 :

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.