Amath 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?

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 = = 60

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

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

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950