https://file.aiquickdraw.com/mathbot/file/1729042093357xx7o5apx.jpg

Let's solve this problem step by step:

### Step 1: Analyze the Problem
- The graph represents Angela's recipe, showing the relationship between the number of cups of sugar and the amount of flour needed.
- The table provides Jaleel's recipe, showing the same relationship for different amounts of sugar.
- Jaleel and Angela have a total of 20 cups of sugar, which they divide equally, meaning each person gets \( \frac{20}{2} = 10 \) cups of sugar.

### Step 2: Determine Flour Needed for Angela
From the graph, we can observe the relationship:
- 1 cup of sugar → 1 cup of flour
- 2 cups of sugar → 2 cups of flour
- 3 cups of sugar → 3 cups of flour
- 4 cups of sugar → 4 cups of flour
- 5 cups of sugar → 5 cups of flour

The graph shows a 1:1 ratio, meaning that for every cup of sugar, Angela needs an equal number of cups of flour.

Since Angela uses 10 cups of sugar, she will need:
\[
10 \text{ cups of flour}
\]

### Step 3: Determine Flour Needed for Jaleel
Jaleel's table shows:
- \(1 \frac{1}{2}\) cups of sugar → 1 cup of flour
- 3 cups of sugar → 2 cups of flour
- \(4 \frac{1}{2}\) cups of sugar → 3 cups of flour

The table indicates a pattern: for every \(1 \frac{1}{2}\) cups of sugar, the amount of flour increases by 1 cup.

To calculate the amount of flour Jaleel needs for 10 cups of sugar, we find out how many times \(1 \frac{1}{2}\) fits into 10:
\[
\frac{10}{1.5} = \frac{20}{3} \approx 6.67
\]

Therefore, Jaleel will need approximately \(6.67\) cups of flour for 10 cups of sugar.

### Final Answer:
- Angela needs 10 cups of flour.
- Jaleel needs approximately 6.67 cups of flour.

Would you like a more detailed explanation or have any other questions?

### Related Questions:
1. How can we derive the ratio of flour to sugar for Jaleel using a different approach?
2. What if they each only had 8 cups of sugar? How would the flour amounts change?
3. How would the solutions change if Jaleel's table included more data points?
4. Could you calculate the flour needed if they decided to use 25 cups of sugar instead of 20?
5. How can we represent this problem algebraically to find the flour needed for any given amount of sugar?

### Tip:
When solving ratio problems, setting up a proportion or equation helps in finding unknown quantities quickly.

Jaleel and Angela buy a 20-cup bag of sugar and divide it evenly to make their recipes. If they each use ALL of their sugar, how much flour do they each need?

This problem involves determining the amount of flour Angela and Jaleel need to make their brownie recipes using a 1:1 and 1.5:1 ratio for sugar to flour. Angela uses 10 cups of flour for 10 cups of sugar, while Jaleel uses approximately 6.67 cups of flour for 10 cups of sugar. Suitable for Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation