What is the equivalent ratio in simplest form of 45 books in 90 minutes if she organized 120 books.

Is it..... 21?

45/90 = 120/x

To find the equivalent ratio in simplest form, we need to simplify the given ratio.

First, let's identify the ratio. The given ratio is 45 books to 90 minutes.

To simplify the ratio, we need to find the greatest common divisor (GCD) of the terms (number of books and number of minutes) that can divide both numbers evenly.

The GCD of 45 and 90 is 45. Therefore, we can divide both numbers by 45 to simplify the ratio.

45 books ÷ 45 = 1 book
90 minutes ÷ 45 = 2 minutes

So, the simplified ratio is 1 book to 2 minutes.

Now, you mentioned that she organized 120 books. To find the corresponding value of minutes, we can set up a proportion.

1 book ÷ 2 minutes = 120 books ÷ x minutes

Solving this proportion will help us find the value of x, which represents the number of minutes it takes to organize 120 books.

Cross-multiplying, we get:

1 * x = 2 * 120
x = 240

Therefore, it would take her 240 minutes to organize 120 books.

In summary, the equivalent ratio in simplest form is 1 book to 2 minutes, and it would take her 240 minutes to organize 120 books.