Question

Lyles height is twice the difference of the height of his brother, harry, and the height of his dad, vince. Lyle is 2 1/2 feet tall, and harry is 4 3/4 feet tall. If vinces height is v feet, identify the equation that models this situation and choose the correct solution to the equation.

Answer 1

Answer:

$5 = 19 - 4v$

Step-by-step explanation:

We are given the following in the question:

$\text{Lyle's height} = 2( \text{Harry's height - Vince's height})$

Let l be Lyle's height, h be Harry's height and v be Vince's height.

Thus, we can write:

$l = 2(h-v)$

Lyle's Height =

$2\dfrac{1}{2}\text{ feet}$

Harry's height =

$4\dfrac{3}{4}\text{ feet}$

Putting the value in the equation:

$2\dfrac{1}{2} = 2(4\dfrac{3}{4}- v)\\\\\dfrac{5}{2} = \dfrac{19}{2} - 2v\\\\5 = 19 - 4v\\4v = 19-5\\\\v = \dfrac{14}{4}\\\\v = 3\dfrac{2}{4} = 3\dfrac{1}{2}$

Thus, Vince's height is 3.5 feet.