Question

Cody and Tyler were once the same height. Since then, Tyler's height has increased by 20%, while Cody has grown half as much. If Tyler is 4 feet tall now, how many inches tall is Cody now?

Answer 1

Answer:

Cody is 60 inches tall.

Step-by-step explanation:

Let $h$ be the initial height of Cody and Tyler, then we know that now Cody's height $h_c$ is 20% more than $h$, or

$h_c=1.2h$

and Tyler's height has increased half as much as the initial height; or

$h_t=1.5h$

Now Tyler is 4 feet tall; therefore ,

$h=\frac{h_t}{1.2} =\frac{4ft}{1.2} =3.33 feet$

is the initial height of Cody and Tyler.

Now Cody has grown as half as much as his initial height; therefore:

$h_c=1.5h=1.5(3.33)=5feet$

$\boxed{h_c=5feet}$

When converted to inches, this is 60 inches.

Therefore Cody is 60 inches tall.