Jim has three times as many comic books as Charles. Charles has #2/3# as many books as Bob. Bob has 27 books. How many does Jim have?

1 Answer
Feb 13, 2017

Jim has 54 books.

Explanation:

Let's say that Jim has "#x#" books, Charles has "#y#" books, and Bob has #z# books.

Now, according the question, Jim has three times as more comic books as Charles.
In the mathematical language, we write this as #x=3y#, which means "#x# is equal to three times as much as #y# is", #x# being the number of books Jim has and #y# being the number of books Charles has.

Now, apparently Charles has #2/3# times as much as comic books Bob has.
In the mathematical language, we write this as #y=2/3z#, which means "#y# is equal to two by three times as #z# is", #y# being the number of books Charles has and #z# being the number of books Bob has.

Now, apparently Bob has #27# books. In the math language we're gonna say that #z=27#, or "#z# is equal to 27#, where #z# is the number of books Bob has.

So Charles has #2/3# times as many books Bob has, so that means #y=2/3*27# which gives us with #y=18#
We take that #y=18# to #x=3y# which gives us #x=3*18#

So that's how I say that Jim has 54 books. That's a lot of books.