Mr. Jenkins has 48 paintbrushes and 60 tubes of paint to put into cups. The greatest common factor for the number of paint brushes and the number of tubes of paint is equal to the number of cups Mr. Jenkins has. Find the number of cups Mr. Jenkins has

Question

Jayce Randolph

Mathematics

12 January, 13:06

Mr. Jenkins has 48 paintbrushes and 60 tubes of paint to put into cups. The greatest common factor for the number of paint brushes and the number of tubes of paint is equal to the number of cups Mr. Jenkins has. Find the number of cups Mr. Jenkins has

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Answers (1)

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Aubrey Calhoun · Answer 1

Mr. Jenkins has 12 cups.

Step-by-step explanation:

Consider the provided information.

Mr. Jenkins has 48 paintbrushes and 60 tubes of paint to put into cups.

It is given that The greatest common factor for the number of paint brushes and the number of tubes of paint is equal to the number of cups Mr. Jenkins has.

First find the greatest common factor of 48 and 60.

48 = 2*2*2*2*3

60 = 2*2*3*5

Hence, the greatest common factor is 2*2*3=12

Therefore, Mr. Jenkins has 12 cups.