at a bookfair there was an equal number of chinese books and english book. at the end of the day 84 chinese and 156 english books were sold. the ratio of english books to chinese books became 7:4.how many books were there altogether at beginning of the day
(x-84)/(x-156) = 7/4
x = 252
Note that 252 is not the answer to the question.
Let's assume that there were "x" books of each language at the beginning of the day.
We know that 84 Chinese books and 156 English books were sold. So, the remaining number of Chinese books would be x - 84, and the remaining number of English books would be x - 156.
According to the given information, the ratio of English books to Chinese books after the sales is 7:4:
(x - 156)/(x - 84) = 7/4
To solve the equation, we can cross-multiply:
4(x - 156) = 7(x - 84)
4x - 624 = 7x - 588
Rearranging the equation:
7x - 4x = 624 - 588
3x = 36
x = 36/3
x = 12
Therefore, there were 12 books of each language at the beginning of the day.
The total number of books at the beginning of the day would be 12 + 12 = 24 books.
To find out how many books were there altogether at the beginning of the day, we can use a variable to represent the number of books. Let's call this variable "x".
Since the ratio of English books to Chinese books became 7:4, we can set up the equation:
(156 English books) / (84 Chinese books) = 7/4
To solve this equation, we can cross multiply:
4 * 156 = 7 * 84
Now, let's simplify the equation:
624 = 588
This is not a true statement, which means our assumption about the ratio of English books to Chinese books is incorrect.
Therefore, there is not enough information provided to determine the total number of books at the beginning of the day.