Question: Kamilah picks a total of $16$ radishes and carrots in the community garden. She picks $3$ times as many radishes as carrots.
Make a diagram to show the number of carrots and radishes that Kamilah picks.
Kamilah’s Vegetables
Carrots
Radishes
Total
1. **State the problem:** Kamilah picks a total of $16$ vegetables, which are radishes and carrots. The number of radishes is $3$ times the number of carrots.
2. **Define variables:** Let $c$ be the number of carrots. Then the number of radishes is $3c$.
3. **Write the equation:** The total number of vegetables is the sum of carrots and radishes:
$$c + 3c = 16$$
4. **Simplify the equation:**
$$4c = 16$$
5. **Solve for $c$:**
$$c = \frac{16}{4}$$
$$c = 4$$
6. **Find the number of radishes:**
$$3c = 3 \times 4 = 12$$
7. **Interpretation:** Kamilah picks $4$ carrots and $12$ radishes.
8. **Diagram explanation:**
- The bar model has two rows labeled "Carrots" and "Radishes".
- The "Carrots" row is divided into $4$ equal sections.
- The "Radishes" row is divided into $12$ equal sections.
- The total column shows $16$ for the combined vegetables.
This visually represents the ratio and total count of vegetables Kamilah picked.