Mara has a sample that weighs 96.9 grams. She must divide it into 17 equal amounts. How many grams of the sample are in each one?
We are given a sample that has a total weight of \(96.9\) grams. This sample needs to be divided into \(17\) equal parts. Our objective is to determine the weight of each individual part in grams. Let \(w\) represent the total weight and \(n\) represent the number of equal parts. We are looking for the weight per part, which we can denote as \(x\). The relationship between these variables is given by the equation \(n \cdot x = w\), which implies that the weight of each part is \(x = \frac{w}{n}\).
To find the weight of each individual amount, we need to divide the total weight by the number of parts. We substitute the given values into our equation:
\[x = \frac{96.9}{17}\]
Performing the division, we find:
\[x = 5.7\]
Therefore, each of the \(17\) equal parts weighs exactly \(5.7\) grams.
Each equal amount of the sample weighs exactly \(5.7\) grams. \(\boxed{5.7}\) grams.
In daily life, this type of division is commonly used for partitioning resources. For example, if you have a batch of artisanal chocolate weighing 96.9 grams and you want to create 17 equally sized gift bars, you would calculate the weight for each bar by dividing the total weight by the count of bars. This ensures that every gift bar is consistent and of equal quality, which is essential for uniform packaging and distribution.