Question

if there are 11 books on a shelf 4 are new the rest are old what is the ratio of the new books to the old books.and what is the ratio of the old books to the new ones.

Answer 1

Recall that the ratio of two quantities x and y is the fraction

`(x)/(y),`

or x:y, which indicates how many times y is the quantity x.

Now, if there are 4 new books, then there are 11-4=7 old books.

Therefore, the ratio of new books to the old books is:

`(4)/(7)\text{.}`

The ratio of old books to new books is:

`(7)/(4)\text{.}`

Answer:

New to old: 4/7.

Old to new: 7/4.