Final answer:
To provide 4 pencils to each of the 28 students, a total of 14 boxes of pencils are needed, calculated by multiplying the number of students by pencils per student and dividing the product by the number of pencils per box.
Step-by-step explanation:
The student needs to determine how many boxes of pencils are necessary for 28 students if each student receives 4 pencils. Since there are 8 pencils in a box, we need to calculate the total number of pencils needed for 28 students and then divide that number by the number of pencils in a box.
First, multiply the number of students by the number of pencils each student receives: 28 students × 4 pencils per student = 112 pencils needed in total.
Second, divide the total number of pencils needed by the number of pencils in a box: 112 pencils ÷ 8 pencils per box = 14 boxes needed.
Therefore, 14 boxes are needed to provide 4 pencils to each of the 28 students.