Answer:
Each type of books ordered were:
Mystery: 864 books.
Science Fiction: 124 books.
Romance: 72 books.
Step-by-step explanation:
Given:
Total new books ordered by library = 1060.
12 times as many mystery books as romance, 52 more science fiction as romance books.
Let, the romance books be [tex]x[/tex].
So, the mystery books is [tex]12x[/tex].
And, the science fiction books is [tex]52+x[/tex].
According to question:
[tex]x+12x+(52+x)=1060[/tex]
⇒[tex]x+12x+x+52=1060[/tex]
⇒ [tex]14x+52=1060[/tex]
⇒ [tex]14x=1060-52[/tex]
⇒ [tex]14x=1008[/tex]
⇒ [tex]x=\frac{1008}{14}[/tex]
⇒ [tex]x=72[/tex].
Romance: [tex]x=72[/tex].
Mystery: [tex]12x(12\times72)=864[/tex].
Science Fiction: [tex]52+x(52+72)=124[/tex].
Therefore, each type of books ordered were:
Mystery: 864 books.
Science Fiction: 124 books.
Romance: 72 books.
