https://file.aiquickdraw.com/mathbot/file/1726696833386soxynwst.jpg

To solve this problem, we need to find the **greatest common factor (GCF)** of the two numbers given: 16 (red flowers) and 24 (yellow flowers). The GCF will represent the greatest number of bouquets Sara can make, with each bouquet containing the same number of each color flower.

### Steps to Find the GCF
1. **List the factors of each number:**
   - Factors of 16: 1, 2, 4, 8, 16
   - Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24

2. **Identify the common factors:**
   - Common factors of 16 and 24: 1, 2, 4, 8

3. **Find the greatest of these common factors:**
   - The greatest common factor is **8**.

### Conclusion
The greatest number of bouquets Sara can make is **8**. This means each bouquet will contain:
- \( \frac{16}{8} = 2 \) red flowers
- \( \frac{24}{8} = 3 \) yellow flowers

Would you like further details or explanations on this? 

Here are 5 related questions to explore:
1. If Sara had 20 red flowers and 30 yellow flowers, what is the greatest number of bouquets she can make?
2. What if Sara wanted each bouquet to have exactly 4 red flowers and 6 yellow flowers? How many bouquets could she make?
3. How do you find the Least Common Multiple (LCM) of two numbers, and how is it different from the GCF?
4. If Sara has a different number of each flower, how can she ensure each bouquet has the same composition?
5. What happens if Sara has a prime number of red flowers and a composite number of yellow flowers?

**Tip:** Finding the GCF is useful not only for distributing items evenly but also in simplifying fractions.

Sara has 16 red flowers and 24 yellow flowers. She wants to make bouquets with the same number of each color flower in each bouquet. What is the greatest number of bouquets she can make?

Solve a real-world math problem where Sara needs to make the greatest number of bouquets using 16 red flowers and 24 yellow flowers. Learn how to use the Greatest Common Factor (GCF) to find the solution in a simple step-by-step guide. Ideal for Grades 4-6 students.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation