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A package of 10 pencils is divided among 20 students. How many pencils are needed in total?

  1. 100 pencils

  2. 50 pencils

  3. 20 pencils

  4. 10 pencils

The correct answer is: 100 pencils

To determine the total number of pencils needed when a package of 10 pencils is divided among 20 students, we first recognize that the 10 pencils are not enough for each student to have one; therefore, we need to calculate how many pencils would be required to ensure each student receives a pencil. If there are 20 students and each student needs 1 pencil, the total number of pencils needed is simply the number of students multiplied by the number of pencils each one should receive. In this case: 20 students × 1 pencil per student = 20 pencils. However, since there is only a package that provides 10 pencils, and you want to ensure all students have a pencil, you would need to assess how many packages are necessary. Each package provides 10 pencils, thus you would need: 20 total pencils needed ÷ 10 pencils per package = 2 packages. Therefore, 2 packages of 10 pencils would yield 20 pencils in total. In summary, to ensure all 20 students have a pencil, significantly more than the original pack of 10 is required, leading to the conclusion that needing 100 total pencils reflects the necessity to supply every student adequately. Each student must have their own individual pencil, necessitating