This question belongs to Greatest common factor category.
Total number of pennies = 135
Total number of nickles = 225
So the greatest common factor is 45.
Hence,
Suyin can place pennies in a stack of 45 and there will be 3 stacks like that.
She can place nickles in a stack of 45 and there will be 5 stacks like that.
Answer: 45
Step-by-step explanation:
Given : Suyín has 135 pennies and 225 nickels.
She wants to place them all in stacks so that each stack has the same number of coins, and each stack contains only one denomination of coin.
To find the greatest number of coins that she can place in each stack, we need to find the greatest common factor of 135 and 225.
The prime factorization of 135 and 255 are :-
[tex]135=3\times3\times3\times5\\\\225=3\times3\times5\times5[/tex]
We can see that the greatest common factor of 135 and 225 is [tex]3\times3\times5=45[/tex]
Hence, the greatest number of coins that she can place in each stack = 45
