The alloy consists of 19 parts aluminum and 2 parts magnesium (by weight). What is the mass of an alloy

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

Let x kg be one part.
Then 19 * x kg – aluminum in the alloy.
Then 2 * x kg – magnesium in the alloy.
And since magnesium in the alloy is 34 kg less, then we compose the equation:
19 * x-2 * x = 34;
17 * x = 34;
x = 2 kg – makes up one piece.
19 * x = 19 * 2 = 38 kg – aluminum alloy.
2 * x = 2 * 2 = 4 kg – magnesium in the alloy.
Knowing how many kg of components, we determine the mass of the alloy:
38 + 4 = 42 kg – weight of the alloy.
Answer: 42 kg.



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