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A pup is worth a pooch and a mutt. A pup and a pooch are worth one bird dog. Two bird dogs are worth three mutts.

 

how many pooches is a pup worth?

 Mar 17, 2021
 #1
avatar+121006 
+1

w= pup

x= pooch

y = mutt

z = bird dog

 

w =  x + y            (1)  

z =  w + x      ⇒   (2/3) z = (2/3) w  + (2/3)x       (2)

2z  = 3y        (3)            

 

Relate  w  and  x

 

Manipulate (3)

y  = (2/3)z

 

Put  this  into  (1)  for y

w = x + (2/3)z

 

Sub (2)  into (1) 

w = x  + [ (2/3)w  + (2/3)x  ]        rearrange as

 

 

w - (2/3)w  = x + (2/3) x

 

(1/3)w  =  (5/3)x

 

w   =  5x

 

1 pup  =   5 pooches

 

 

cool cool cool

 Mar 17, 2021
edited by CPhill  Mar 17, 2021

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