Calculate Homeless Support: Division of Donated Food Packages

Susana collects food packages from the public and distributes them among the homeless.

3 of the people contributed 3 packages each. The rest gave 1.

The number of homeless people is $\frac{1}{3}$the number of donators.

How many packages does each homeless person receive?

Let's solve the problem step-by-step.

First, calculate the total number of packages. Three people contributed 3 packages each, giving us:

Packages from these 3 people: $3 \times 3 = 9$

Let the rest of the contributors be $x$ people, each contributing 1 package:

Total number of packages is: $9 + x$

Now, compute the total number of donors:

Total donors: $3 + x$

Next, we use the information about the number of homeless people:

Number of homeless people is $\frac{1}{3}$ of the donors, so:

$\text{Homeless people} = \frac{1}{3} \times (3 + x)$

Distribute packages evenly among homeless people:

$\text{Packages per homeless person} = \frac{9 + x}{\frac{1}{3} \times (3 + x)} = \frac{9 + x}{\frac{3 + x}{3}} = 3 \times \frac{9 + x}{3 + x}$

At this point, if we attempt to simplify further, we recognize a cancellation leads directly to a constant:

The expression simplifies directly to 3 independent of $x$. However, it reveals an insight: This constant solution aligns poorly with the more finite choices or proportions typically noted in practical scenarios.

This indicates a concept implication—the packages per homeless person remains 'uniformly distributed.' Ergo, within the choice list, the context highlights logical fallacy due to impacts of trivial function cancellation.

Therefore, aligning both functional understanding and impactful mathemetical completion:

It cannot be calculated.