Question

Jamison has been saving all year for his sister's birthday. He has collected all the 5 and 10 cent coins he had from his change in his piggy bank. He is now counting the money by putting it into piles, all containing $1 worth of coins. He notices that he has a number of piles of different heights. If 5 and 10 cent coins are the same thickness, how many different heights of $1 pile could he have?

Answer 1

Jamison could have a maximum of 20 piles made of only 5 cent coins and a maximum of 10 piles with a combination of 5 and 10 cent coins when counting by putting it into piles containing $1 worth of coins.

Step-by-step explanation:

To determine the number of different heights of $1 piles that Jamison could have, we need to consider the different combinations of 5 and 10 cent coins that make up $1.

Let's start by assuming all the piles are made of only 5 cent coins. Since a 5 cent coin is worth $0.05, we would need 20 coins to make $1.

Therefore, the maximum number of piles made of only 5 cent coins would be 20.

Now, let's consider the possibility of combining 5 and 10 cent coins. If we use one 10 cent coin, we can use ten 5 cent coins to make $1. So, the maximum number of piles that can have a combination of 5 and 10 cent coins would be 10.