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The ratio of trainee chefs is 5:3 to delivery men. If the number of trainee chefs are twenty four more than two thirds of the delivery men, how many are delivery men and chefs in total is 5:3?

 Mar 10, 2020
 #1
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Let  The  number  of delivery  men =  D

 

Then the  number  of chefs  =  (2/3)D + 24

 

So   we  have  this

 

 

(2/3)D + 24            5

_________  =     ____     cross-multiply

     D                      3

 

 

3 [ (2/3)D + 24  ]  = 5D      simplify

 

2D  + 72  =  5D     subtract  2D from both sides

 

72 =  3D      divide  both  sides  by  3

 

24  = D = number  of delivery  men

 

And  the  number of chefs =  (2/3)(24) + 24  = 16 + 24  =   40

 

 

cool cool cool

 Mar 10, 2020

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