A book vendor is trying to sell his booking collection. One customer buys 1/4 of his books, another buys 1/3 of his books, and a third buys 1/6 of his books. If the vendor is left with 15 books, how many did he start out with?

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Step-by-step explanation:

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Answer: 60 books

Step-by-step explanation:

One customer buys 1/4 of a book vendor's books, another buys 1/3 of his books, and the third person buys 1/6 of his books.

The lowest common multiple of 4, 3 and 6 is 12

1/4 * 12 = 3

1/3 * 12 = 4

1/6 * 12 = 2

We add all together = 3+4+2 = 9

So we've gotten our numerators as 9 and denominator as 12 which is 9/12 = 3/4

Since the total books bought is 3/4. The fraction of books left will be

1-3/4 = 1/4

The book vendor has 15 books left. So we divide 15 by 1/4.

= 15 : 1/4

= 15 * 4

= 60