SOLUTION: louisa is 3/4 as tall as Carla. The difference between their heights is .4 meters. How tall is each girl? Thank you

Algebra ->  Algebra  -> Linear-equations -> SOLUTION: louisa is 3/4 as tall as Carla. The difference between their heights is .4 meters. How tall is each girl? Thank you      Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   

Question 54926: louisa is 3/4 as tall as Carla. The difference between their heights is .4 meters. How tall is each girl?
Thank you
Answer by tutorcecilia(2144) About Me  (Show Source):
You can put this solution on YOUR website!
Louisa is 3/4 as tall as Carla
Translation:
Louisa = (3/4)(Carla)=(3/4)(C)
Carla = (C)
.
The difference between their heights is .4 meters
Translation:
Louisa-Carla=.4
or
(3/4)(C)-(C)=0.4 [Simplify]
(1/4)C=0.4 [Solve for C]
C=1.6

Check by plugging all of the values back into the original equation:
(3/4)C-C=0.4
(3/4)(1.6)-(1.6)=0.4