Answer:
Delaney has 36 books and 24 movies currently
Step-by-step explanation:
Given:
Delaney has 4 times as many books as she has movies.
she buys 15 more movies
Ratio of movies to books = 2:3
To Find:
The number of books and movies she is having currently = ?
Solution:
Let the number of movies be x
Then the number of books is 4x
After she buys 15 books, the number of books will be
x+15
Now the ratio of movies to books is 2 : 3
[tex]\frac{2}{3} = \frac{x+15}{4x}[/tex]
On solving
[tex]3 \times(x+15) = 2 \times 4x[/tex]
[tex] 3x+45 =8x[/tex]
[tex] 45 =8x-3x[/tex]
[tex] 45 =5x[/tex]
[tex] x =\frac{45}{5}[/tex]
x = 9
The number of book is
=> [tex]4 \times x[/tex]
=> [tex]4 \times 9[/tex]
=> 36
The number of movies is
=>x + 15
=>9+15
=> 24
