The alloy consists of 19 parts aluminum and 2 parts magnesium (by weight).
| April 24, 2021 | education
The alloy consists of 19 parts aluminum and 2 parts magnesium (by weight). What is the mass of the alloy if it contains 34 kg of magnesium. less than aluminum?
Suppose that the mass of one part is x kg, then the mass of aluminum is 19x kg, and the mass of magnesium is 2x,
according to these data, we compose the equation:
19x-2x = 34
17x = 34
x = 34: 17
x = 2
2x = 2 2 = 4 (kg) – mass of magnesium
19x = 19 2 = 38 (kg) – mass of aluminum
38 + 4 = 42 (kg) – weight of the alloy
Answer: the mass of the alloy is 42 kg
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