Question

Shauna's father's company donated 140 pencils to the class. The hotel where Jamal's mother works donated 84
notepads to the class. What is the maximum number of students a class can have for each student to share the
pencils and the notepads equally? How many pencils and how many notepads will each student receive?
(15points)

Answer 1

there would have to be 28 students

notepads for each student: 3

pencils for each student: 5

Answer 2

Answer: The maximum number of students a class can have for each student to share the  pencils and the notepads equally = 28

Each student will receive 5 pencils and 3 notepads.

Step-by-step explanation:

Given : Number of pencils = 140

Number of notepads = 84

The maximum number of students a class can have for each student to share the  pencils and the notepads equally  = Greatest common factor of (140 , 84)

Prime factorization of 140 and 84  :

140 = 2 x 2 x 5 x 7

84= 2 x 2 x 3 x 7

GCF (140, 84)= 2 x 2 x 7 = 28

i.e. The maximum number of students a class can have for each student to share the  pencils and the notepads equally = 28

Number of pencil each student will receive = $\dfrac{140}{28}=5$

Number of notepads each student will receive = $\dfrac{84}{28}=3$

Hence, each student will receive 5 pencils and 3 notepads.