Question

Delaney has 4 times as many books as she has movies. If she buys 15 more movies ( but no more books ), her ratio of movies to books will be 2:3. How many movies and how many books does she currently have?

Answer 1

Delaney has 36 books and 24 movies currently

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

`(2)/(3) = (x+15)/(4x)`

On solving

`3 *(x+15) = 2 * 4x`

`3x+45 =8x`

`45 =8x-3x`

`45 =5x`

`x =(45)/(5)`

x = 9

The number of book is

=>
`4 * x`

=>
`4 * 9`

=> 36

The number of movies is

=>x + 15

=>9+15

=> 24