To solve this problem, we need to determine how many green candies correspond to 36 red candies based on the given green-to-red candy ratio.

Step 1: Analyze the relationship

From the table:

• 2 green candies correspond to 6 red candies.
• 3 green candies correspond to 9 red candies.
• 5 green candies correspond to 15 red candies.
• 10 green candies correspond to $X$ red candies.

The ratio is consistent, as shown by:

$\text{Green:Red} = \frac{2}{6} = \frac{3}{9} = \frac{5}{15} = \frac{10}{30} = \frac{1}{3}.$

This indicates a 1:3 ratio of green to red candies.

Step 2: Solve for 36 red candies

If the ratio is $\frac{\text{Green}}{\text{Red}} = \frac{1}{3}$, then:

$\text{Green} = \frac{\text{Red}}{3}.$

For 36 red candies:

$\text{Green} = \frac{36}{3} = 12.$

Final Answer:

If there are 36 pieces of red candy, there should be 12 pieces of green candy.

Would you like more detailed steps or further clarification?

Here are some related questions for practice:

1. What is the value of $X$ in the table for 10 green candies?
2. If there were 48 red candies, how many green candies would there be?
3. How can you verify that the ratio is consistent?
4. What fraction of the total candies are green?
5. How many total candies would there be for 36 red candies?

Tip: Ratios remain consistent when scaled up or down proportionally.