You have 36 stamps that you want to put into a stamp album. Stamp albums are made with either 4 to 6 pages. You need to decide which album you will use in order to have an equal number of stamps on each page.
The question is:
Choose one album that you will use for your collection. show how your choice of album and stamps will work using repeated subtraction.
How big are the stamps and how big are the album pages?
I don't know about "repeated subtraction," but it seems like you can have 4 pages with 9 stamps on each page or 6 pages with 6 stamps on each page.
To determine which album and how many stamps will work, we need to find a number of stamps that can be evenly divided by the number of pages in the album.
Since the album can have either 4, 5, or 6 pages, we need to find a number that is divisible by 4, 5, and 6.
We can use repeated subtraction to find this number:
1. Start with the highest number of pages, which is 6.
2. Subtract 6 from 36: 36 - 6 = 30.
3. Check if the new number, 30, is divisible by both 4 and 5. If it is, we have found our answer. If not, continue with the next step.
4. Subtract 6 again: 30 - 6 = 24.
5. Check if 24 is divisible by both 4 and 5. If it is, we have found our answer. If not, repeat the process with the next number of pages, which is 5.
6. Subtract 5 from 36: 36 - 5 = 31.
7. Check if 31 is divisible by both 4 and 5. If it is, we have found our answer. If not, repeat the process with the next number of pages, which is 4.
8. Subtract 4 from 36: 36 - 4 = 32.
9. Check if 32 is divisible by both 4 and 5. If it is, we have found our answer. If not, continue with the next step.
10. Subtract 4 again: 32 - 4 = 28.
11. Check if 28 is divisible by both 4 and 5. If it is, we have found our answer. If not, continue subtracting until we find a number that satisfies the requirement.
After going through this process, we find that 24 is divisible by both 4 and 6. Therefore, we can choose an album with 4 pages and put 24 stamps in it. Each page will then have an equal number of stamps.