Dr. Stein bought 30 notebooks, 60 pencils and 300 erasers for his class to make identical packages with some notebooks, some pencils and some erasers for his students. He used everything he bought, and every student got a package. What is the largest number of students Dr. Stein can have in his class?
Answers
Given:
Dr. Stein bought 30 notebooks, 60 pencils and 300 erasers for his class to make identical packages with some notebooks, some pencils and some erasers for his students.
He used everything he bought, and every student got a package.
To find:
What is the largest number of students Dr. Stein can have in his class?
Solution:
From given, we have,
Dr. Stein bought 30 notebooks, 60 pencils and 300 erasers.
He made identical packages with some notebooks, some pencils and some erasers for his students.
Implies that, each student received the same number of notebooks, pencils and erasers.
30 notebooks = 3 × 10 = 3 notebooks × 10 students
60 pencils = 6 × 10 = 6 pencils × 10 students
300 erasers = 30 × 10 = 30 erasers × 10 students
So, each student receives a package consisting of 3 notebooks, 6 pencils and 30 erasers.
Therefore, a total of 10 students are in Dr. Stein's class