Question

A math book comprises of 2 sections: arithmetic and geometry in the ratio 5:3. How much of each type of content will be needed to make a book of 480 pages?

Answer 1

300 pages of arithmetic and 180 pages of geometry

Explanation:

Given,

The ratio of arithmetic content and geometric content = 5 : 3

Let the pages in arithmetic contents = 5x,

And, the pages in geometric content = 3x,

Where, x is a positive real number,

So, the total pages = 5x + 3x = 8x

According to the question,

8x = 480

⇒ x =
`(480)/(8)` = 60

Hence, the content of arithmetic = 5 × 60 = 300 pages,

While, the content of geometry = 3 × 60 = 180 pages,

Answer 2

As the ratio is 5:3, it totals 8 parts. I would do 480 divided by 8 to get the number of pages per part, then multiply that number into the ratio.
480 / 8 = 60
The value of each part being 60 put into the ratio 5:3 = 60x5 : 60x3
Which gives your answer.

Hope it helps :)