You are making sets of pens and pencils to sell. You want each set to contain the same combination of pens and pencils. You have 28 pens and 80 pencils, and you want to use them all. What is the greatest number of these sets you can make

7 pens and 20 pencils because 28 divided by 4 = 7 and 80 divided by 4 = 20

4 sets.

Step-by-step explanation:

We are asked to find the greatest number of sets you can make using 28 pens and 80 pencils.

To solve our given problem, we will find greatest common factor of 28 and 80.

Factors of 28: 1, 2, 4, 7, 14, 28.

Factors of 80: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80.

We can see that the greatest common factor of 28 and 80 is 4, therefore, you can make at-most 4 sets each having same number of pens and pencils.