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 comic books does Jim have?

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3 Answers

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 comic books does Jim have?*
by
Let j be the number of books that Jim has, c for Charles books, and b for Bob.

The word equation can be written as the following set of linear equations:

j = 3 x c
c = 2/3 x b
And they give you b = 27

So
c = 2/3 x 27

Doing this the very long way :)
= 2/3 x 27/1    ... make 27 an improper fraction (27/1)
= (2 x 27) / (3 x 1)    ...  multiplication of fractions means multiply numerators and denominators together
= (2 x (3 x 3 x 3)) / 3  ...  factorizing 27 into 3 x 3 x 3
You can divide 3 from both numerator and denominator
  2 x 3 x 3 = 18
So Charles has 18 books

And
j = 3 x c
= 3 x 18
= 54

So Jim has 54 books

Check your factorizations here:

http://statsfiddle.info/Primes/PrimeFactors/27
by Level 4 User (6k points)
idk help me out (i don't know)
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