Complete question:
A book shop sold fiction books and cartoon books at a ratio of 3:5. Then, it sold four times as many fiction books and 40% more cartoon books. As a result, it sold 800 more fiction books than cartoon books. How many fiction and cartoon books were sold altogether in the end?
Answer:
3040
Explanation:
Given the following :
Sales ratio = 3:5 (fiction : cartoon)
Let total number of books sold = x
Fiction books = 3x
Cartoon books = 5x
Four times as many fiction books = 4 × fiction books = 4*(3x) = 12x - - - (1)
40% more cartoon books = 40/100 = 0.4
5x(1.40) = 7x - - - (2)
As a result, 800 more fiction books than cartoon :
Fiction - cartoon = 800
12x - 7x = 800
5x = 800
x = 160
Substitute x into (1) and (2)
Fiction books : 12(160) = 1920
Cartoon books : 7(160) = 1120
1920 + 1120 = 3,040