a news paper has more than 30 pages and fewer than 40 pages. the newspaper is divided into sections, and each section has exactly 8 pages. how many sections does the newspaper have?
Answer: 4 sections
Step-by-step explanation:
Let the number of pages in a newspaper be x
Given : A news paper has more than 30 pages and fewer than 40 pages.
⇒\(30
As the newspaper is divided into sections, and each section has exactly 8 pages, divide the inequality by 8, we get
\(\frac{30}{8}<\frac{x}{8}<\frac{40}{8}\\\\\Rightarrow3.75<\frac{x}{8}<5\)
where number of sections=\(\frac{x}{8}\)
⇒ Number of sections is greater than 3.75 but less than 5 i.e. 4
Therefore, there are 4 sections in a newspaper .