Adhy, Ben and Clayson shared a bag of chocolates. The ratio of Adhy's share to Ben's share is 3:4 while
the ratio of Ben's share to Clayson's share is 3:5.
Given that Ben has 9 more chocolates than Adhy, find the difference between the number of chocolates
that Adhy and Clayson has.​

Respuesta :

Answer:   33

Step-by-step explanation:

The ratio of Adhy's to Ben's is 3:4 so let

Adhy = 3x

Ben = 4x

Since Ben = Adhy + 9

then   4x   =    3x    + 9

-->        x    =  9

So, Adhy = 3x  = 3(9)   = 27

     Ben   = 4x   = 4(9)   = 36

*************************************************************

The ratio of Ben's to Clayson's is 3:5

How do we get Ben's ratio of 3 equal to 36? by multiplying by 12

Ben  :  Clayson

3 x 12    5 x 12

 36          60

So, Clayson = 60

***********************************************************

The difference between Adhy and Clayson is:

Clayson - Adhy

   60     -    27    = 33