A gardener has 36 red roses and 48 yellow roses. He wants to plant them in rows with the same number of each type of rose in each row. What is the maximum number of rows he can plant? (2023)
Practice Questions
1 question
Q1
A gardener has 36 red roses and 48 yellow roses. He wants to plant them in rows with the same number of each type of rose in each row. What is the maximum number of rows he can plant? (2023)
6
12
18
24
The HCF of 36 and 48 is 12, which is the maximum number of rows he can plant.
Questions & Step-by-step Solutions
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Q
Q: A gardener has 36 red roses and 48 yellow roses. He wants to plant them in rows with the same number of each type of rose in each row. What is the maximum number of rows he can plant? (2023)
Solution: The HCF of 36 and 48 is 12, which is the maximum number of rows he can plant.
Steps: 7
Step 1: Identify the number of red roses, which is 36.
Step 2: Identify the number of yellow roses, which is 48.
Step 3: Find the factors of 36. The factors are 1, 2, 3, 4, 6, 9, 12, 18, 36.
Step 4: Find the factors of 48. The factors are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.
Step 5: Identify the common factors of 36 and 48. The common factors are 1, 2, 3, 4, 6, 12.
Step 6: Determine the highest common factor (HCF) from the common factors. The highest common factor is 12.
Step 7: Conclude that the maximum number of rows he can plant is 12.
