Question

An art teacher is making packages of paint brushes and paint for his. He has 24 brushes and 40 tubes of paint. Each package will have the same number An art teacher is making packages of paintbrushes and paint for his students. of brushes and the same number of tubes of paint.
Part a. What is the greatest number of packages that the art teacher can make using all the paintbrushes and paint? Show your work


Part b. How many paintbrushes and tubes of paint are in each package?​

Answer 1

The greatest number of packages the  art teacher can make using all the paintbrushes and paint is 8

The number of paintbrushes in each package would be 3 and the number of tubes of paints would be 5

In order to determine the greatest number of packages the teacher can make using all the paintbrushes and paint, we have to determine the highest common factor of the number of brushes and the number of tubes of paint

Highest common factor is the highest factor that is common to two or more numbers

Factors of 24 = 1,2,3,4,6,8,12 and 24

Factors of 40 = 1, 2, 4, 5, 8, 10, 20 and 40.

Common factors of 24 and 40 = 1, 2, 4, 8

Highest common factor = 8

The number of paintbrushes in each package = number of brushes / number of package

24/8 = 3 brushes

The number of tubes of paint = number of tubes of paints / number of package

40 / 8 = 5 tubes of paints

To learn more about highest common factor, please check: https://brainly.com/question/18650233?referrer=searchResults