To solve the problem of determining how many people can equally share 72 copies and 99 pencils, along with how many copies and pencils each person will get, follow these steps:
1. Find the Greatest Common Divisor (GCD):
First, we need to find the GCD of 72 and 99. The GCD is the largest number that can divide both 72 and 99 without leaving a remainder.
2. Determine the Number of Copies and Pencils per Person:
Once we have the GCD, we can calculate how many copies and pencils each person will get by dividing the total number of copies and pencils by the GCD.
3. Calculate the Maximum Number of People:
The maximum number of people that can equally share the copies and pencils is equal to the GCD.
Given the greatest common divisor we have:
GCD of 72 and 99: 9
Now, using this GCD:
- Copies per person: 72 ÷ 9 = 8 copies
- Pencils per person: 99 ÷ 9 = 11 pencils
Therefore:
- The maximum number of people that can equally share the 72 copies and 99 pencils is 9.
- Each person will get 8 copies.
- Each person will also get 11 pencils.
So, the answer is:
- Maximum number of people: 9
- Copies per person: 8
- Pencils per person: 11
