Respuesta :
Answer:
The number of mystery books = 12
Step-by-step explanation:
let n be the total number of the books.
→ “Half the books you own are mysteries” means (n÷2) are mysteries
→ “one third are nonfiction” means (n÷3) are non fiction
→ 4 books are sc-fiction
………………………………………
We can form this equation:
[tex]\frac{n}{2} +\frac{n}{3} +4=n[/tex]
[tex]\Longrightarrow \left( \frac{1}{2} +\frac{1}{3} \right) n+4=n[/tex]
[tex]\Longrightarrow \frac{5}{6} n+4=n[/tex]
[tex]\Longrightarrow 4=n-\frac{5}{6} n[/tex]
[tex]\Longrightarrow 4=\frac{1}{6} n[/tex]
[tex]\Longrightarrow 4\times6= n[/tex]
[tex]\Longrightarrow n=24[/tex]
………………
Therefore
The number of mystery books = n÷2 = 24÷2 = 12
