In a classroom, the teacher has 24 pencils and wants to distribute them equally

Practice Questions

Q1
In a classroom, the teacher has 24 pencils and wants to distribute them equally among students. If each student receives a multiple of 3 pencils, how many students can receive pencils?
  1. 6
  2. 8
  3. 4
  4. 3

Questions & Step-by-Step Solutions

In a classroom, the teacher has 24 pencils and wants to distribute them equally among students. If each student receives a multiple of 3 pencils, how many students can receive pencils?
  • Step 1: Identify the total number of pencils, which is 24.
  • Step 2: Understand that each student must receive a multiple of 3 pencils.
  • Step 3: List the multiples of 3 that are less than or equal to 24: 3, 6, 9, 12, 15, 18, 21, 24.
  • Step 4: Determine how many students can receive pencils for each multiple of 3 by dividing 24 by each multiple.
  • Step 5: Calculate: 24 ÷ 3 = 8, 24 ÷ 6 = 4, 24 ÷ 9 = 2.67 (not a whole number), 24 ÷ 12 = 2, 24 ÷ 15 = 1.6 (not a whole number), 24 ÷ 18 = 1.33 (not a whole number), 24 ÷ 21 = 1.14 (not a whole number), 24 ÷ 24 = 1.
  • Step 6: The only multiples of 3 that give whole numbers of students are 3, 6, 12, and 24.
  • Step 7: The maximum number of students that can receive pencils is when each student gets 3 pencils, which allows for 8 students.
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