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Dr. Drange has a collection of 90 books. Of the books, 2/9 are math books, 1/6 are science books, and the rest are romance novels. How many romance novels does he have?

2 Answers

3 votes
Solving:

*Math books


(2)/(9) * 90 = (180)/(9) = 20\:math\:books

**Science books


(1)/(6) } * 90 = (90)/(6) = 15\:science\:books

***romance novels (books)

If we have a total of 90 books, being 20 books of mathematics and 15 of science, therefore the amount of books that are missing are novels of romance, soon:

Math + Science + Romance novels = 90 books

20 + 15 + Romance novels = 90
35 + Romance novels = 90
Romance novels = 90 - 35
Romance novels = 55

Answer:
55 books


User Irit
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7.2k points
2 votes
So whenever a question says "of" multiply. So 2/9x90= 180/9= 20. 1/6x90= 90/6= 15. 90-(20+15)=90-35=55.

55 of the books are romance novels. (or 11/18)

Hope this helps!
User Kiba
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8.3k points