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

March 25, 2021 | education

| **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?**

1. Let’s denote one part by x.

2. Determine the mass of aluminum in the alloy:

19 * x = 19x kg.

3. Find out the mass of magnesium in the alloy:

2 * x = 2x kg.

4. Let’s compose and solve the equation.

19x – 2x = 34;

17x = 34;

x = 34: 17;

x = 2.

5. One part is equal to x = 2.

6. What is the mass of aluminum in the alloy?

19 * x = 19 * 2 = 38 kg.

7. What is the mass of magnesium in the alloy?

2 * x = 2 * 2 = 4 kg.

8. What is the mass of the alloy?

38 + 4 = 42 kg.

Answer: the mass of the alloy is 42 kg.

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