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A gardener has 60 red flowers and 90 yellow flowers. What is the largest number

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Question: A gardener has 60 red flowers and 90 yellow flowers. What is the largest number of bouquets he can make if each bouquet has the same number of red and yellow flowers? (2023)

Options:

  1. 15
  2. 30
  3. 45
  4. 60

Correct Answer: 30

Exam Year: 2023

Solution: 

The largest number of bouquets is the HCF of 60 and 90, which is 30.

A gardener has 60 red flowers and 90 yellow flowers. What is the largest number

Practice Questions

Q1
A gardener has 60 red flowers and 90 yellow flowers. What is the largest number of bouquets he can make if each bouquet has the same number of red and yellow flowers? (2023)
  1. 15
  2. 30
  3. 45
  4. 60

Questions & Step-by-Step Solutions

A gardener has 60 red flowers and 90 yellow flowers. What is the largest number of bouquets he can make if each bouquet has the same number of red and yellow flowers? (2023)
  • Step 1: Identify the number of red flowers, which is 60.
  • Step 2: Identify the number of yellow flowers, which is 90.
  • Step 3: To find the largest number of bouquets, we need to find the highest common factor (HCF) of 60 and 90.
  • Step 4: List the factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60.
  • Step 5: List the factors of 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90.
  • Step 6: Identify the common factors from both lists: 1, 2, 3, 5, 6, 10, 15, 30.
  • Step 7: The largest common factor is 30.
  • Step 8: Therefore, the largest number of bouquets he can make is 30.
  • Highest Common Factor (HCF) – The HCF is the largest number that divides two or more numbers without leaving a remainder, which in this case helps determine how many bouquets can be made with equal numbers of red and yellow flowers.
  • Divisibility – Understanding how numbers can be divided evenly is crucial for solving problems involving equal distribution.
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