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

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 2

Answer: 45

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*3*3*5\\\\225=3*3*5*5`

We can see that the greatest common factor of 135 and 225 is
`3*3*5=45`

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