Respuesta :
Answer:
The present number of movies does Delaney has is 9
The present number of Books does Delaney has is 36 .
Step-by-step explanation:
Given as :
The number of books = 4 time number of movies
Let The number of books = B
Let The number of movies = M
So, B = 4 × M .......1
Again
If 15 more movies bought , the ratio of movies to books = 2 : 3
I.e The number of movies = M' = M + 15
So, [tex]\dfrac{M'}{B}[/tex] = [tex]\dfrac{2}{3}[/tex]
Or, [tex]\dfrac{M + 15}{B}[/tex] = [tex]\dfrac{2}{3}[/tex]
Or, 3 × (M + 15) = 2 × B
Or, 3 M + 45 = 2 B ........2
Solving eq 1 and eq 2
i.e 3 M + 45 = 2 × 4 × M
Or, 8 M - 3 M = 45
Or, 5 M = 45
∴ M = [tex]\dfrac{45}{5}[/tex]
i.e M = 9
So, The number of movies = M = 9
Now, putting the value of M into eq 1
∵ B = 4 × M
So, B = 4 × 9
i.e B = 36
So, The number of books = B = 36
Hence, The present number of movies does Delaney has is 9 and The present number of Books does Delaney has is 36 . Answer
