Algebra problem

Question

Louisa is 3/4 as tall as Carla. The difference between their height is 0.4 meters. How tall is each girl?

Answer 1

Let x represent Carla's height.

Then 3/4 x = Louisa's height.

 

x - 3/4 x = 4/10

1/4 x = 4/10

 

Multiply both sides by 4 to clear the fraction on the left side.

 

x = 16/10 = 1.6 m, which is Carla's height.

 

3/4 x = 3/4 * 16/10 = 48/40 = 12/10 = 1.2 m, which is Louisa's height