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?
50 % + 20% = 70%
then
100% - 70% = 30%
so
0.30 * 360
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.
Look at what Damon did.
.3 * 360 = ?
To find the number of pages on Arithmetic in the book, we first need to determine the pages dedicated to Algebra and Geometry.
1. Determine the number of pages for Algebra:
The book has 360 pages, and 50% of the book is dedicated to Algebra.
So, the number of pages for Algebra = 50% of 360 = 0.50 * 360 = 180 pages.
2. Determine the number of pages for Geometry:
The book has 360 pages, and 20% of the book is dedicated to Geometry.
So, the number of pages for Geometry = 20% of 360 = 0.20 * 360 = 72 pages.
Now, to find the number of pages for Arithmetic, we subtract the pages allocated for Algebra and Geometry from the total number of pages in the book.
Pages for Arithmetic = Total pages - Pages for Algebra - Pages for Geometry
Pages for Arithmetic = 360 - 180 - 72
Pages for Arithmetic = 108 pages
Therefore, there are 108 pages of Arithmetic in the book.