Question

In the CAMPA library, there are 42 math books, 35 science books, and 28history books.What is the ratio of history to math to science books in the library?If the library added one science book and 2 math books, what would thenew ratio be?

Answer 1

The ratio of history to math is given by

`(28)/(42)`

which is equal to

`(28)/(42)=(14)/(21)=(2)/(3)`

Then, the answer for the history to math is 2:3 or, in fraction form is

`(2)/(3)`

On the other hand the ratio history to science is 28:35, which in fraction form is written as

`(28)/(35)=(4)/(5)`

Similarly, the ratio math to science is 42:35, which in fraction form is

`(42)/(35)=(6)/(5)`

Now, if we add 1 science book and 2 math book, we have 36 science books and 37 math books, then the ratio history to math is 28:37, which in fraction form is written as

`(28)/(37)`

and the ratio history to science is 28:36. which in fraction form is written as

`(28)/(36)=(7)/(9)`

and the ratio math to science is 37:36, which in fraction form is written as

`(37)/(36)`