Question 106
Uchral, together with a few friends, bought some books and some notebooks from a store. The price of one book is $A$ times more expensive than one notebook. Uchral and her friends decided to divide the purchased books and notebooks such that the monetary value each person receives is equal.
Uchral received $\frac{1}{10}$ of all the books and $\frac{1}{15}$ of all the notebooks. When she counted the number of books and notebooks she received, she noticed that the number of notebooks she received was 6 times the number of books she received.
Find all possible values of $A$.
(Batzorig Undrakh)
Uchral received $\frac{1}{10}$ of all the books and $\frac{1}{15}$ of all the notebooks. When she counted the number of books and notebooks she received, she noticed that the number of notebooks she received was 6 times the number of books she received.
Find all possible values of $A$.
(Batzorig Undrakh)