still stuck on this one please help
Marissa plans to use 50 sheet of aper for a scrapbook. How much thicker will the scrapbook be if she uses heavyweight (which is 2/5 in for 100 sheets) instead of lightweight paper (which is 3/10 in for 100 sheets)?
Using the "heavy weight", she will have a thickness of 1/5 inches
Using the lighter paper she will have a thickness of 3/20 inches
so 1/5 - 3/20
= 4/20 - 3/20 = 1/20
Thank you!
To find out how much thicker the scrapbook will be when using heavyweight paper instead of lightweight paper, we need to calculate the differences in thickness for 50 sheets.
First, let's determine the thickness of each type of paper for 100 sheets:
- Lightweight paper thickness for 100 sheets: 3/10 inches
- Heavyweight paper thickness for 100 sheets: 2/5 inches
To find the thickness per sheet, we divide the thickness by the number of sheets:
- Lightweight paper thickness per sheet: (3/10) / 100 = 3/1000 inches per sheet
- Heavyweight paper thickness per sheet: (2/5) / 100 = 2/500 inches per sheet
Now, we can calculate the thickness for 50 sheets of each type of paper:
- Lightweight paper thickness for 50 sheets: (3/1000) * 50 = 3/20 inches
- Heavyweight paper thickness for 50 sheets: (2/500) * 50 = 1/10 inches
To find the difference in thickness between the two types of paper, we subtract the thickness of the lightweight paper from the heavyweight paper:
- Difference in thickness = Heavyweight paper thickness - Lightweight paper thickness
= (1/10) - (3/20)
= 1/10 - 3/20
= 1/10 - 1.5/20
= 1/10 - 3/40
= 4/40 - 3/40
= 1/40 inches
Therefore, if Marissa uses heavyweight paper instead of lightweight paper for her scrapbook, it will be 1/40 inches thicker.