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The table provided asks for completion based on equivalent ratios of blue and yellow paint. The first row shows that **2 cups of blue paint** correspond to **10 cups of yellow paint**. We can deduce the missing values by maintaining this ratio.

### Step-by-step process:
The ratio of blue to yellow paint is \( \frac{2}{10} = \frac{1}{5} \).

#### For the second row:
1. If there is **1 cup of blue paint**, the equivalent amount of yellow paint will be:
   \[
   1 \times 5 = 5 \text{ cups of yellow paint}.
   \]

#### For the third row:
2. To find how many cups of blue paint correspond to **15 cups of yellow paint**, we use the same ratio \( \frac{1}{5} \). Therefore:
   \[
   x = \frac{15}{5} = 3 \text{ cups of blue paint}.
   \]

### Completed Table:
- For 2 cups of blue paint, 10 cups of yellow paint.
- For 1 cup of blue paint, 5 cups of yellow paint.
- For 3 cups of blue paint, 15 cups of yellow paint.

Would you like further details or clarifications on this? Here are five additional questions to expand on this concept:

1. How would the amount of yellow paint change if we used 4 cups of blue paint?
2. What is the total amount of paint for each of the cases in the table?
3. If we had 20 cups of yellow paint, how many cups of blue paint would we need?
4. Can you express the relationship between blue and yellow paint in terms of a formula?
5. How would the mixture change if we reversed the ratio, using more blue than yellow?

**Tip:** When dealing with ratios, always ensure that the proportion between quantities remains constant when scaling up or down.

When you mix two colors of paint in equivalent ratios, the resulting color is always the same. Complete the table as you answer the questions:

- Cups of blue paint: 2, Cups of yellow paint: 10
- Cups of blue paint: 1, Cups of yellow paint: ?
- Cups of blue paint: ?, Cups of yellow paint: ?

Learn how to solve paint mixing problems involving ratios. This example includes a step-by-step solution to maintain equivalent ratios while scaling quantities. Perfect for students in Grades 6-8.

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