A florist has 14 tulips and 49 sunflowers if the florist wants to create identical bouquets without any flowers left over what is the greatest number of bouquets the florist can make

To find the greatest number of identical bouquets that the florist can make, we need to determine the **greatest common divisor (GCD)** of 14 tulips and 49 sunflowers. The GCD will tell us the largest number of bouquets that can be made such that no flowers are left over.

1. **Find the factors of 14**:
   - Factors of 14: 1, 2, 7, 14

2. **Find the factors of 49**:
   - Factors of 49: 1, 7, 49

3. **Determine the GCD**:
   - The greatest common factor between 14 and 49 is **7**.

Therefore, the greatest number of identical bouquets the florist can make is **7**.

Each bouquet would contain:
- \( \frac{14}{7} = 2 \) tulips
- \( \frac{49}{7} = 7 \) sunflowers

### Would you like more details or have any further questions?

Here are 5 related questions to expand this concept:
1. How do you find the GCD of more than two numbers?
2. What is the least common multiple (LCM) of 14 and 49?
3. How could the florist distribute the flowers if each bouquet had 3 tulips?
4. If the florist adds 6 more tulips, what is the new GCD of tulips and sunflowers?
5. How would the GCD change if the number of sunflowers were prime?

**Tip:** The GCD helps solve problems where you're dividing items into equal groups without leftovers, and it's often useful in many real-world scenarios.

A florist has 14 tulips and 49 sunflowers. If the florist wants to create identical bouquets without any flowers left over, what is the greatest number of bouquets the florist can make?

Learn how to solve the problem of finding the greatest number of identical bouquets that can be made using 14 tulips and 49 sunflowers. This problem focuses on using the greatest common divisor (GCD) to divide flowers into equal groups with no leftovers. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation