In a laboratory analysis of maize grains, the following results were obtained:I. the dry matter content of 80 percent made up of 30.0 parts carbohydrate,3.3 parts ash, 13.8 parts fibre and 1.7 parts protein. II. the remainder of the dry matter is oil. What is the percentage of oil in the dry matter?
In the laboratory analysis of maize grains, we have the following components of dry matter:
Carbohydrates: 30.0 parts, Ash: 3.3 parts, Fibre: 13.8 parts, Protein: 1.7 parts
First, calculate the total parts of the components: \(\text{Total parts} = 30.0 + 3.3 + 13.8 + 1.7 = 48.8 \text{ parts}\)
The remainder of the dry matter is oil: \(\text{Oil parts} = 100 - 48.8 = 51.2 \text{ parts}\)
Now, to find the percentage of oil in the dry matter:
\(\text{Percentage of oil} = \left( \frac{51.2}{80} \right) \times 100 \approx 64.0\%\)
Thus, the percentage of oil in the dry matter is \( \boxed{64.0\%} \).
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