Final answer:
To provide each of the 4 teachers with an equal number of pencils, you only need 1 box since it contains exactly 100 pencils, which is enough for each teacher to receive 25 pencils.
Step-by-step explanation:
Calculating the Number of Boxes Needed
To determine the number of boxes needed to give pencils to the 4 teachers so that each teacher receives an equal number of pencils, we need to first calculate the total number of pencils in one box. Since one box contains 10 packs and each pack contains 10 pencils, a single box contains a total of 100 pencils (10 packs × 10 pencils per pack).
Next, we divide the total number of pencils by the number of teachers to find out how many pencils each teacher would get: 100 pencils ÷ 4 teachers = 25 pencils per teacher.
Since each teacher is to receive an equal number of pencils and a box contains exactly enough pencils for four teachers, the answer is that you only need 1 box to ensure each teacher gets an equal number of pencils.