The alloy consists of 19 parts aluminum and 2 parts magnesium (by weight).

The alloy consists of 19 parts aluminum and 2 parts magnesium (by weight). What is the mass of an alloy if it contains 34 kg less magnesium than aluminum?

Let the mass of one part be x, then the mass of aluminum in the alloy is 19x, and the mass of magnesium in the alloy is 2x. Knowing that there is 34 kg less magnesium in the alloy than aluminum, we make an equation.

19x – 2x = 34;

17x = 34;

x = 34/17;

x = 2.

Let’s calculate how many parts the alloy contains.

19x + 2x = 21x.

Let’s calculate the mass of the alloy, knowing that one part weighs 2 kg.

21 * 2 = 42 kilograms.

Answer: 42 kg.