Question

in preparation for a party, brant is putting desserts onto platters. the chocolate cake is cut into 15 pieces and the cheesecake is cut into 6 pieces. if he wants to prepare identicle platters without having any cake left over, what is the greatest number of platters he can prepare?

Answer 1

Answer:

The greatest number of platters he can prepare is 3.

Step-by-step explanation:

Given : In preparation for a party, brant is putting desserts onto platters. the chocolate cake is cut into 15 pieces and the cheesecake is cut into 6 pieces. if he wants to prepare identical platters without having any cake left over.

To find : What is the greatest number of platters he can prepare?

Solution :

The greatest number of platters he can prepare is given by finding the GCF of 15 and 6.

Factoring the numbers,

$6=2\times 3$

$15=3\times 5$

The GCF is the greatest common factor.

$GCF(6,15)=3$

Therefore, the greatest number of platters he can prepare is 3.