Question: Kai picks a total of $9$ green peppers and tomatoes in the community garden. He picks $2$ times as many green peppers as tomatoes.
Make a diagram to show the amount of green peppers and tomatoes that Kai picks.
Kai’s Vegetables
Green Peppers
Tomatoes
Total
$6$
$3$
1. **State the problem:**
Kai picks a total of $9$ vegetables consisting of green peppers and tomatoes. The number of green peppers is $2$ times the number of tomatoes.
2. **Define variables:**
Let $t$ be the number of tomatoes.
Then the number of green peppers is $2t$.
3. **Write the equation for the total:**
$$t + 2t = 9$$
4. **Simplify the equation:**
$$3t = 9$$
5. **Solve for $t$:**
$$t = \frac{9}{3}$$
$$t = 3$$
6. **Find the number of green peppers:**
$$2t = 2 \times 3 = 6$$
7. **Interpretation:**
Kai picks $3$ tomatoes and $6$ green peppers, totaling $9$ vegetables.
8. **Diagram explanation:**
- Represent tomatoes as $3$ units.
- Represent green peppers as $6$ units.
This matches the problem statement and the solution.
**Final answer:**
Tomatoes: $3$
Green Peppers: $6$