Question

A dentist is making packages of toothbrushes and toothpaste for his patients. He has 12 toothbrushes and 18 tubes of toothpaste. Each package will have the same number of toothbrushes and the same number of tubes of toothpaste. What is the greatest number of packages that the dentist can make using all the toothbrushes and tubes of toothpaste? How many toothbrushes and how many tubes of toothpaste will be in each package?

Answer 1

There will be 11 toothbrushes and tubes of toothpaste in each package

Answer 2

Each package will have 2 toothbrushes and 3 tubes of paste.

Explanation:

A dentist is making packages of toothbrushes and toothpaste for his patients.

He has 12 toothbrushes and 18 tubes of toothpaste.

Each package will have the same number of toothbrushes and the same number of tubes of toothpaste.

To find the greatest number of packages that can be made, we will find the greatest common factor of 12 and 18.

12 = 2 x 2 x 3

18 = 2 x 3 x 3

So, the gcf is = 2 x 3 = 6

Hence, 12 toothbrushes can be packed in =
`12/6=2` per package

18 tubes of toothpaste can be packed in =
`18/6=3` per package

So, each package will have 2 toothbrushes and 3 tubes of paste.