Question

A teacher wants to give each student 2 pencils. A store is selling pencils in boxes of 24. If the teacher has a total of 125 students, how many boxes of pencils should he buy? $$ \begin{array}{llll}{\text { AD } 5} & {\text { (B) } 6} & {\text { C } 10} & {\text { D) } 11}\end{array} $$

Name: Problem 44, Chapter 2: Algebra 1 Common Core
Uploaded: 2020-04-23T16:02:57-08:00
Duration: 39 s
Channel: Karly Williams
Description: A teacher wants to give each student 2 pencils. A store is selling pencils in boxes of 24. If the teacher has a total of 125 students, how many boxes of pencils should he buy? AD 5 (B) 6 C 10 D) 11

   A teacher wants to give each student 2 pencils. A store is selling pencils in boxes of 24.
If the teacher has a total of 125 students, how many boxes of pencils should he buy?
$$
\begin{array}{llll}{\text { AD } 5} & {\text { (B) } 6} & {\text { C } 10} & {\text { D) } 11}\end{array}
$$

Algebra 1 Common Core

Randall I.… 1st Edition

Chapter 2, Problem 44

Instant Answer

Solved by Expert Karly Williams

04/23/2020

Step 1

So, we need to find the total number of pencils needed. We can find this by multiplying the number of students by the number of pencils each student will receive. This gives us: \[125 \text{ students} \times 2 \text{ pencils/student} = 250 \text{ pencils}\] Show more…

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A teacher wants to give each student 2 pencils. A store is selling pencils in boxes of 24. If the teacher has a total of 125 students, how many boxes of pencils should he buy? $$ \begin{array}{llll}{\text { AD } 5} & {\text { (B) } 6} & {\text { C } 10} & {\text { D) } 11}\end{array} $$

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Key Concepts

Multiplicative Reasoning

This involves determining the total number of items needed by multiplying the number of units (students) by the requirement per unit (pencils per student). This concept is fundamental in ensuring that all items required are accurately accounted for.

Division in Discrete Contexts

Once the total number of items is known, division is used to determine how many complete packages (boxes) are needed since items are sold in discreet groups. This step is crucial when dealing with groups that cannot be subdivided.

Rounding Up / Ceiling Function

When division does not result in a whole number, the result must be rounded up to ensure that the total available items cover the required amount. This concept, often referred to as the ceiling function, is important in practical situations where only full packages can be purchased.

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