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,
[tex]6=2\times 3[/tex]
[tex]15=3\times 5[/tex]
The GCF is the greatest common factor.
[tex]GCF(6,15)=3[/tex]
Therefore, the greatest number of platters he can prepare is 3.
