A box contains 36 red balls and 48 blue balls. What is the maximum number of equ

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Question: A box contains 36 red balls and 48 blue balls. What is the maximum number of equal groups that can be formed with the balls? (2023)

Options:

Correct Answer: 12

Exam Year: 2023

Solution:

The HCF of 36 and 48 is 12. Therefore, the maximum number of equal groups is 12.

A box contains 36 red balls and 48 blue balls. What is the maximum number of equal groups that can be formed with the balls? (2023)

A box contains 36 red balls and 48 blue balls. What is the maximum number of equal groups that can be formed with the balls? (2023)

Step 1: Identify the number of red balls, which is 36.
Step 2: Identify the number of blue balls, 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 equal groups that can be formed with the balls is 12.

Highest Common Factor (HCF) – The HCF is the largest number that divides two or more numbers without leaving a remainder, which is used to determine the maximum number of equal groups that can be formed.
Divisibility – Understanding how numbers can be divided evenly into groups is essential for solving problems related to grouping items.