Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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**Practice: Cake Recipe Ratio**

Here is part of a recipe for different-sized cakes, showing the ratio of eggs to flour.

**1.1** Make a table that represents the same situation.

| Eggs | Flour (cups) |
|------|--------------|
| 2    | 1.5          |
| 4    | 3            |
| 6    | 4.5          |

**1.2** How much flour do you need for each egg in this recipe?

\[ \text{Answer: } 1.5 \text{ cups of flour per egg} \]

**1.3** How many eggs would you need for a bag that contains 18 cups of flour?

\[ \text{Answer: } 24 \text{ eggs} \]

---

**The same cake recipe uses 2 cups of sugar for every 3 cups of flour.**

**2.1** Draw a double number line to represent this situation.

- **Sugar Line:** Marked at 0, 1, 2, 3
- **Flour Line:** Marked at 0, 1.5, 3, 4.5

**2.2** How much sugar would you need for a bag that contains 18 cups of flour?

\[ \text{Answer: Corresponding sugar amount calculation} \]

**2.3** Which representation do you prefer to answer the previous question: a table or a double number line? Explain your thinking.

\[ \text{Answer: (Personal preference explanation)} \]
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Transcribed Image Text:**Practice: Cake Recipe Ratio** Here is part of a recipe for different-sized cakes, showing the ratio of eggs to flour. **1.1** Make a table that represents the same situation. | Eggs | Flour (cups) | |------|--------------| | 2 | 1.5 | | 4 | 3 | | 6 | 4.5 | **1.2** How much flour do you need for each egg in this recipe? \[ \text{Answer: } 1.5 \text{ cups of flour per egg} \] **1.3** How many eggs would you need for a bag that contains 18 cups of flour? \[ \text{Answer: } 24 \text{ eggs} \] --- **The same cake recipe uses 2 cups of sugar for every 3 cups of flour.** **2.1** Draw a double number line to represent this situation. - **Sugar Line:** Marked at 0, 1, 2, 3 - **Flour Line:** Marked at 0, 1.5, 3, 4.5 **2.2** How much sugar would you need for a bag that contains 18 cups of flour? \[ \text{Answer: Corresponding sugar amount calculation} \] **2.3** Which representation do you prefer to answer the previous question: a table or a double number line? Explain your thinking. \[ \text{Answer: (Personal preference explanation)} \]
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