A zookeeper weighed an African elephant to be 9x10^3 pounds and an African lion to be 4x10^2 pounds. How many times greater is the weight of the elephant than the weight of the lion?

Verified Answer :

Answer:  22.5 .  The weight of the elephant is "22.5 times greater" than                              the weight of the lion.
_________________________________________________________
Explanation:
_________________________________________________________

(weight of lion) (x) = (eight of the elephant)  ;  Solve for "x" .
_____________________________________________________
   → Divide each side of the equation by "(weight of lion)" ;
  to isolate "x" on one side of the equation ; and to solve for "x" ;
_________________________________________________________
    
   → (weight of lion)
(x) / (weight of lion) = (weight of the elephant) /
                                                           (weight of lion) ;
________________________________________________________
     →  x  = (weight of the elephant) / (weight of lion) ;
__________________________________________________________
     →  Plug in our "given values" ; and solve for "x" ;
__________________________________________________________
     →  x = (910³) / (410²) =  (910⁽³⁻²⁾) / 4  =  (910¹) / 4  ;
__________________________________________________________  
     →  x =  90 /4 = 25/2  = 22.5 ; which is our answer.
__________________________________________________________