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?
Please, someone answer I need help
The first box contains 5 large packages with 12 items in each package for $12. Therefore, the price per large package in the first box is $12/5 = $2.40.
To find the unit price of each item in the first box, we divide the total number of items (5 large packages with 12 items each) by the total price ($12). So, there are a total of 5 x 12 = 60 items. Therefore, the unit price of each item in the first box is $12/60 = $0.20.
The second box contains 30 individual packages with 5 items in each package for $15. Therefore, the price per individual package in the second box is $15/30 = $0.50.
To find the unit price per item in the second box, we divide the total number of items (30 individual packages with 5 items each) by the total price ($15). So, there are a total of 30 x 5 = 150 items. Therefore, the unit price per item in the second box is $15/150 = $0.10.
To determine which box is the better buy, we need to compare the unit prices. In this case, the unit price per item in the first box is $0.20, while the unit price per item in the second box is $0.10. Therefore, the second box is the better buy as it has a lower unit price per item.
Could you maybe explain it to me like I'm a kindergartner please?
Sure! Let's break it down step by step.
First, we have two different boxes of healthy snacks at a warehouse store.
In the first box, there are 5 big packages, and each of those big packages has 12 snacks inside. The price of the first box is $12.
To find the price per big package in the first box, we divide the total price ($12) by the number of big packages (5). This tells us that each big package costs $2.40.
Now, let's figure out the price for each individual snack in the first box. Since there are 5 big packages and each package has 12 snacks, that gives us a total of 60 snacks (5 x 12 = 60). We divide the total price ($12) by the total number of snacks (60). This gives us a unit price of $0.20 per snack.
Now let's look at the second box. In this box, there are 30 small packages, and each small package has 5 snacks inside. The price of the second box is $15.
To find the price per small package in the second box, we divide the total price ($15) by the number of small packages (30). This tells us that each small package costs $0.50.
Now, let's figure out the price for each individual snack in the second box. Since there are 30 small packages and each package has 5 snacks, that gives us a total of 150 snacks (30 x 5 = 150). We divide the total price ($15) by the total number of snacks (150). This gives us a unit price of $0.10 per snack.
So, to summarize:
- In the first box, each big package costs $2.40 and each individual snack costs $0.20.
- In the second box, each individual small package costs $0.50 and each individual snack costs $0.10.
Based on the prices per item, the second box is the better buy because the snacks are cheaper individually. The second box has a lower unit price per snack, so you get more snacks for your money.
so the unit price of box #1 is 0.20 per snack, correct?
Apologies for the confusion in my previous response. No, the unit price of box #1 is not $0.20 per snack.
In box #1, there are 5 large packages with 12 items in each package for a total of 5 x 12 = 60 items. The total price is $12.
To find the unit price per item in box #1, we divide the total price ($12) by the total number of items (60). This gives us a unit price of $12/60 = $0.20 per item.
Therefore, the correct unit price for each item in box #1 is $0.20, not $0.20 per snack. I apologize for any confusion caused.