Respuesta :
Answer:
Total number of books sold altogether in the end is 3040.
Step-by-step explanation:
A book shop sold fiction books and cartoon books at a ratio of 3:5.
Let the number of fiction books sold is 3x and the number of cartoon books sold is 5x.
Now, the shop sold four times as many fiction books i.e. 4(3x) = 12x number of fiction books.
Again, the shop sold 40% more cartoon books i.e. the number of cartoon books sold is [tex]5x(1 + \frac{40}{100})[/tex] = 5x(1 + 0.4) = 7x.
Now, given that, 12x - 7x = 800
⇒ 5x = 800
⇒ x = 160
Therefore, total number of books sold altogether in the end is (12x + 7x) = 19x = 19(160) = 3040. (Answer)
The number of fiction and cartoon books were sold altogether, in the end, is 3040.
Given to us,
For the first month
- fiction books: cartoon books = 3:5,
For the next month
- It sold four times as many fiction books and 40% more cartoon books.
- 800 more fiction books than cartoon books.
Assumption
Let the 3x be the fiction books and 5x be the cartoon books sold for the first month.
For the next month
So, for the next month,
- sold four times as many fiction books, therefore, [tex]3x \times 4 = 12x[/tex].
- sold 40% more cartoon books, therefore, [tex]40\%\ of\ 5x = 2x[/tex], thus a total of (5x+2x)=7x.
- The number of fiction and cartoon books were sold altogether in the end is [tex]12x+7x = 19x[/tex].
Now, 800 more fiction books than cartoon books, so, [tex]12x-7x=800[/tex],
[tex]12x-7x=800\\5x=800\\x=160[/tex]
Thus, the number of fiction and cartoon books were sold altogether in the end,
[tex]=19\times x\\=19\times 160\\= 3040[/tex]
Hence, the number of fiction and cartoon books were sold altogether, in the end, is 3040.
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