A gift shop wants to make gift baskets for its regular customers. There are 24 bottles of shampoo, 36 tubes of hand lotion, and 60 bars of soap. The same number of each item should be in each basket. What is the greatest number of baskets that can be made.

Respuesta :

Answer:

12 baskets

Step-by-step explanation:

We solve this question using the Greatest Common Factor method.

We are told that:

There are

24 bottles of shampoo

36 tubes of hand lotion

60 bars of soap.

The same number of each item should be in each basket.

The greatest number of baskets is calculated as follows:

Step 1

We find the factors of 24, 36, 60

The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24

The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36

The factors of 60 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Step 2

We Identify the number that is greatest and common amongst 24, 36 and 60

This is 12.

Then the greatest common factor is 12

Therefore, the greatest number of baskets is 12 baskets