A mathematics book has 360 pages, of which 50% are on ALgebra, 20% on Geometry and the remainder on Arithmetic. How many pages of arithmetic are there in the book?
I'm seeing that the answer is 108 pages but I can't understand how to arrive at that answer.
you have 70% of the pages accounted for. So, if there are 30% left, then
.30*360 = 108
To find out how many pages are dedicated to Arithmetic in the book, you need to first calculate how many pages are dedicated to Algebra and Geometry.
Given that the book has 360 pages, we can calculate the number of pages dedicated to Algebra by multiplying 360 by 50% (or 0.5):
360 pages * 0.5 = 180 pages
So, there are 180 pages dedicated to Algebra.
Next, let's calculate the number of pages dedicated to Geometry by multiplying 360 by 20% (or 0.2):
360 pages * 0.2 = 72 pages
So, there are 72 pages dedicated to Geometry.
To find out how many pages are dedicated to Arithmetic, we need to subtract the pages dedicated to Algebra and Geometry from the total number of pages in the book:
360 pages - 180 pages (Algebra) - 72 pages (Geometry) = 108 pages
Therefore, there are 108 pages dedicated to Arithmetic in the book.