# If Kate triples her height, she will be as tall as if she added 147.5 inches to half her height. How tall is Kate?

Jun 2, 2018

$\text{59 inches}$.

#### Explanation:

Let's call Kate's height $x$. We're going to set this up as an equation. Since three times her height is equal to $147.5$ inches plus half her height, this can be written as:

$3 x = 147.5 + 0.5 x$

Here $x$ is her height in inches. By subtracting $0.5 x$ on both sides, we get:

$2.5 x = 147.5$

Divide both sides by $2.5$

$x = 59$