Middle School

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

Answer :

Answer:

300 pages of arithmetic and 180 pages of geometry

Step-by-step 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 = [tex]\frac{480}{8}[/tex] = 60

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

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

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Rewritten by : Barada

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 :)