Dan is twice the height of his sister Julie plus four inches. Dan is 72 inches tall. How tall is Julie?

Dec 1, 2017

34 inches

Explanation:

Let’s make J represent Julie’s height

Since Dan is two times plus 4 inches the height of Julie, an expression that could represent this is 2J +4

Dan is a total of 72 inches, so we can use this info to find J. The expression should look something like this:

$72 = 2 J + 4$

Isolate J to find Julie’s height, so you would want to start by subtracting 4 on both sides then divide both sides by 2.

$72 - 4 = 2 J + 4 - 4$

$68 = 2 J$

$\frac{68}{2} = 2 \frac{J}{2}$

$34 = J$

Since, once again, J represents Julie, Julie’s height is 34 inches