Question

​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. What is the greatest number of coins that she can place in each​ stack?

Answer 1

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 :-

$135=3\times3\times3\times5\\\\225=3\times3\times5\times5$

We can see that the greatest common factor of 135 and 225 is $3\times3\times5=45$

Hence, the greatest number of coins that she can place in each​ stack = 45

Answer 2

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.