1. **Stating the problem:**
Siti has 50 pieces of $5-notes and $2-notes in total. Let $y$ be the number of $5-notes. Then the number of $2-notes is $50 - y$. The total value of all notes is more than 132.
2. **Forming the inequality:**
The total value from $5-notes is $5y$ and from $2-notes is $2(50 - y)$. The inequality is:
$$5y + 2(50 - y) > 132$$
3. **Simplifying the inequality:**
$$5y + 100 - 2y > 132$$
$$3y + 100 > 132$$
4. **Isolating $y$:**
$$3y > 132 - 100$$
$$3y > 32$$
5. **Dividing both sides by 3:**
$$\cancel{3}y > \cancel{3}\frac{32}{3}$$
$$y > \frac{32}{3}$$
6. **Interpreting the result:**
Since $y$ must be a whole number (number of notes), the minimum number of $5-notes is:
$$y = 11$$
**Final answer:**
Siti must have at least 11 five-dollar notes.
Minimum Five Notes Aee179
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