A library ordered 956 new books. They ordered 12 times as many mystery books as romance. They ordered 52 more science fiction books as they did romance books. How many of each type of books were ordered? Mystery: Science Fiction: Romance:

Romance books ordered = 65

Mystery books ordered = 775

Science Fiction book Ordered ≈ 116

Step-by-step explanation:

Total number of books ordered in the library = 956

Let us assume the number of romance books ordered = m

⇒Number of mystery books ordered = 12 x (Number of romance books)

= 12 x (m) = 12 m

Also, number of science books ordered = 52 + (Number of romance books)

= 52 + m

Now, according to the question:

Number of { romance books + mystery books + science books} = 956

or, m + (12 m) + (52 + m) = 956

or, 14 m = 956 - 52

or, 14 m = 904

⇒ m = 904 / 14 = 64.6

So, the number of romance books ordered = 64.6 ≈ 65

Number of mystery books ordered = 12 m = 12 x 64.5 = 775

Number of science fiction book ordered = = 52 + m = 116.6 ≈ 116