need answer to below

Question

Lola is placing appetizers on plates.  she has 63 spring rolls and 84 cheese cubes.  She wants to include both appetizers on each plate.  Each platemust have the same numbers of spring rolls and cheese cubes.  What is the greatest number of plates she can make using all of the appetizers?  How many of each type of appetizer will be on each of the plates?

Answer 1

The number of plates shall be the GCF, Greatest Common Factor.

 

The prime factors:

63 = 3² · 7

84 = 2² · 3 · 7

 

The GCF is 3 · 7 or 21

 

Twenty-one plates can be made.

 

Can you determine how many of each are a plate?

Answer 2

63=3*3*7

84=2*2*3*7

GCF=3*7=21

21 plates with 3 rolls and 4 cubes on each plate