High School

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Miss Lim has 36 pens and 54 pencils. She distributed them equally among her students. What is the greatest number of students that Miss Lim can have?

Answer :

Answer:

18 students

Step-by-step explanation:

GCF

36 pens: 1, 2, 3, 4, 6, 12, 18, 36

54 pencils: 1, 2, 3, 6, 9, 18, 27, 54

The greatest number of students Miss Lim can have: 18 students

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Rewritten by : Barada

Final answer:

The greatest number of students among whom Miss Lim can distribute 36 pens and 54 pencils equally is 18 students, as it is the greatest common divisor of both numbers.

Explanation:

To determine the greatest number of students among whom Miss Lim can distribute 36 pens and 54 pencils equally, we need to find the greatest common divisor (GCD) of the two numbers. The GCD of 36 and 54 is the largest number that divides both 36 and 54 without leaving any remainder.

Finding the GCD

  1. List the factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36.
  2. List the factors of 54: 1, 2, 3, 6, 9, 18, 27, 54.
  3. Identify the greatest common factor: 18.

Therefore, the greatest number of students Miss Lim can have is 18 students. This means that each student will receive 2 pens and 3 pencils.