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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 ?

2 Answers

7 votes

Answer:

365535


Explanation:

365535

User Ponml
by
6.4k points
2 votes

Answer: 60 books

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

User Amardeepvijay
by
5.8k points