1. **State the problem:** There are 16 packages of food and 14 customers. Each customer ate an equal number of packages. We need to find how many packages each person ate. 2. **Set up the formula:** If each customer ate $x$ packages, then the total packages eaten by all customers is $14 \times x$. 3. **Write the equation:** Since all packages are eaten, total packages eaten equals total packages available: $$14 \times x = 16$$ 4. **Solve for $x$:** $$x = \frac{16}{14}$$ 5. **Simplify the fraction:** $$x = \frac{\cancel{16}}{\cancel{14}} = \frac{8}{7}$$ 6. **Interpret the result:** Each customer ate $\frac{8}{7}$ packages, which is approximately 1.14 packages per person. **Final answer:** Each person ate $\frac{8}{7}$ packages.