Hello, Sk9934!

What ugly numbers!

Couldn't they have chosen "better" numbers?

Let = number of tons from Pile A.Steel is an alloy of iron and nickel.

A steel recycling company has two piles of scrap steel.

Pile A contains steel with 5.25% nickel content.

Pile B contains steel with 2.84% nickel.

The company has an order for 32.5 tons of steel containing 4.15% nickel.

How mach scrap steel should be taken from each pile for reprocessing?

Then = number of tons from Pile B.

The tons from Pile A is 5.25% nickel.

. . It contains: . tons of nickel.

The tons from Pile B is 2.84% nickel.

. . It contains: . tons of nickel.

Hence, the total amount of nickel is: . tons. .[1]

But we are told that the mixture will be 32.5 tons which is 4.15% nickel.

. . This contains: . tons of nickel. .[2]

We just described the final amount of nickel intwoways.

There is our equation! . . .

Got it?