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?

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

On solving

x = 9

The number of book is

=>

=>

=> 36

The number of movies is

=>x + 15

=>9+15

=> 24

d

step-by-step explanation:

d

correct answer is infinitely many solutions

step-by-step explanation:

2(2x + 3) = -4 + 2(2x + 5)

solving the above equation:

4x + 6 = -4 +4x +10

combining like terms

4x -4x = -4+10-6

0=0

since both sides are 0=0, we end up into true statement it means it has infinite many solutions.

so correct answer is infinitely many solutions