The alloy ingot is 28% copper, 56% iron, and the remaining 144 g is nickel. What is the mass of the ingot?
April 26, 2021 | education
| Let us denote the mass of the ingot by x.
In the initial data for this task, it is reported that the ingot consists of 28% copper and 56% iron, therefore, the mass of copper in the ingot is (28/100) * x = 0.28x grams, and the mass of iron in the ingot is ( 56/100) * x = 0.56x gram.
Since the remaining 144 grams of the ingot is nickel, we can write the following equation:
0.28x + 0.56x + 144 = x,
solving which, we get:
0.84x + 144 = x;
x – 0.84x = 144;
0.16x = 144;
x = 144 / 0.16;
x = 900 g.
Answer: the weight of the ingot is 900 g.
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