180k views
2 votes
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?

1 Answer

2 votes
Answer: 22.5 . The weight of the elephant is "22.5 times greater" than the weight of the lion.
_________________________________________________________
Step-by-step 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 = (9*10³) / (4*10²) = (9*10⁽³⁻²⁾) / 4 = (9*10¹) / 4 ;
__________________________________________________________
→ x = 90 /4 = 25/2 = 22.5 ; which is our answer.
__________________________________________________________
User Sean S Lee
by
8.4k points