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The problem you're working on involves understanding the relationship between sugar and flour in two brownie recipes: Angela's and Jaleel's. Let's break it down:

### Key Points:
- **Angela's Recipe**: The graph shows how much flour is needed for a given amount of sugar in her recipe.
- **Jaleel's Recipe**: The table provides this relationship for Jaleel.
- **Total Sugar**: Angela and Jaleel buy 20 cups of sugar and divide it evenly, so each gets **10 cups** of sugar.

### Steps:
1. **Determine the sugar-flour relationship**:
    - **Angela**: From the graph, we can observe the points to find a pattern (amount of sugar to flour). This can be done by identifying the linear relationship (slope) between the points on the graph.
    - **Jaleel**: The table shows that for each 1 ½ cups of sugar, 1 cup of flour is needed. By checking these ratios, we can extend this pattern for 10 cups of sugar.

2. **Calculate Flour for Angela**:
    - From the graph, plot the pattern or ratio from sugar to flour. Based on the points:
        - At 1 cup of sugar, about 1 cup of flour is needed.
        - At 3 cups of sugar, 2 cups of flour.
        - At 5 cups of sugar, 3 cups of flour.
      This suggests a constant ratio. So, for 10 cups of sugar, estimate how much flour is needed.

3. **Calculate Flour for Jaleel**:
    - From the table, the ratio appears to be 1 cup of flour for every 1 ½ cups of sugar (3:2 ratio).
    - Use this ratio to find how much flour is needed for 10 cups of sugar.

Now, I'll solve it step by step for each person.

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### For **Angela**:
From the graph, we can calculate the slope (flour/sugar). The points are approximately (1, 1), (3, 2), and (5, 3). The slope is about ⅔, meaning for every cup of sugar, she uses ⅔ cup of flour.

- If Angela uses **10 cups of sugar**:  
  \( 10 \times \frac{2}{3} = 6.67 \) cups of flour.

### For **Jaleel**:
From the table, we know that for 1 ½ cups of sugar, Jaleel uses 1 cup of flour, so for 10 cups of sugar:

- First, calculate the ratio for Jaleel:  
  \( \frac{4.5}{3} = 1.5 \) cups of sugar per cup of flour.
  
- For 10 cups of sugar:  
  \( 10 \times \frac{2}{3} = 6.67 \) cups of flour.

Thus, **both Angela and Jaleel** will need approximately **6.67 cups of flour each** to use up all their sugar.

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Would you like me to go into more detail on how to analyze the graph or table? Here are some related questions:

1. How can we calculate the exact slope from Angela's graph?
2. How do the different sugar-flour ratios impact the final result?
3. What happens if Angela or Jaleel has more than 10 cups of sugar?
4. How do we estimate when the data isn't perfect on a graph?
5. Could other ingredients affect the flour-to-sugar ratio?

**Tip**: When dealing with graphs, always look for a pattern in the data points to create a formula or rule.

Angela and Jaleel each have 10 cups of sugar from a 20-cup bag and need to figure out how much flour they will use based on their brownie recipes. The relationship between sugar and flour is shown in a graph for Angela's recipe and a table for Jaleel's recipe. How much flour do they each need?

Learn how to calculate the amount of flour needed when using 10 cups of sugar in Angela's and Jaleel's brownie recipes. Use the graph and table to find the ratio of sugar to flour for each recipe. Suitable for students in Grades 6-8.

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