You are making snack bags to sell at the fair. You want each bag to contain same combination of carrots and celery sticks. You have 75 carrots and 40 celery sticks

Question:

You are making snack bags to sell at the fair. You want each bag to contain the same combination of carrot and celery sticks. You have 75 carrot sticks and 40 celery sticks and want to use them all. What is the greatest number of snack bags you can make?

Answer:

The greatest number of snack bags that can be made is 5

Solution:

Given that, You want each bag to contain the same combination of carrot and celery sticks

From given,

Number of carrot sticks = 75

Number of celery sticks = 40

To find: greatest number of snack bags you can make

We have to find the greatest common factor of 75 and 40

When we find all the factors of two or more numbers, and some factors are the same, then the largest of those common factors is the Greatest Common Factor.

The factors of 40 are: 1, 2, 4, 5, 8, 10, 20, 40

The factors of 75 are: 1, 3, 5, 15, 25, 75

Then the greatest common factor is 5

So greatest number of snack bags that can be made is 5