A healthy snack at a popular warehouse store is sold in two different ways. The first box contains 5 large packages with 12 items in each package for $12. The second box contains 30 individual packages with 5 items in each package for $15. Use this information to answer the following questions. In the first box, what is the price per large package? In the first box, what is the unit price of each item? In the second box, what is the price per individual package? In the second box, what is the unit price per item? Which box is the better buy?

Excuse me, do you mind helping me?

Of course, I'll be happy to help you. Let's break down the information provided.

First, let's calculate the price per large package in the first box. The first box contains 5 large packages for $12. So, the price per large package is $12 divided by 5, which equals $2.40.

Next, let's calculate the unit price of each item in the first box. Since each large package contains 12 items, and the price per large package is $2.40, the unit price of each item is $2.40 divided by 12, which equals $0.20 per item.

Moving on to the second box, let's find out the price per individual package. The second box contains 30 individual packages for $15. So, the price per individual package is $15 divided by 30, which equals $0.50.

Lastly, let's determine the unit price per item in the second box. Since each individual package contains 5 items, and the price per individual package is $0.50, the unit price per item is $0.50 divided by 5, which equals $0.10 per item.

Now, considering the prices calculated, we can compare which box is the better buy.

In the first box, each item costs $0.20, while in the second box, each item costs $0.10. Therefore, the second box with the smaller unit price per item is the better buy.