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Question

Bill, Blake and Roy invested $45,000,$75,000, and $60,000, respectively to start an e-learning business. they realized that they required an additional $60,000 for operating the business. how much did each of them have to individually invest to maintain their original investment ratio?

Answer 1

Ratio problems are easy once you reduce the numbers to the minimum values by using common factors and finding their sum.

 

Let's find the prime factors, then reduce as much as possible:

             45000          :         75000           :          60000

    (2,2,2,3,3,5,5,5,5) : (2,2,2,3,5,5,5,5,5) : (2,2,2,2,2,3,5,5,5,5)

                3               :           5                :             4

 

So, the ratio is  3:5:4, which has a total of 12.

 

Now, the problem states that $60,000 is to be added proportionately.  And, 60000/12 = 5000 is the basic unit, so, the additional amount is divided this way:

       3*5000   :   5*5000   :   4*5000

       $15,000  :  $25,000   : $20,000         (check: total $60,000)

 

Check: This makes their investment totals:

               $60,000   :   $100,000   :   $80,000

which is still     3   :   5    :    4