Question

Vita wants to center a towel bar on her door that is 27 1/2 inches wide. She determines that the distance from each end of the towel bar to the end of the door is 9 inches. Write and solve an equation to find the length of the towel bar.

Answer 1

Answer:

The equation is $x+18 =\frac{55}{2}$..

The length of the towel bar is $\frac{19}{2}\ in \ \ \ OR \ \ \ 9\frac{1}{2}\ in$..

Step-by-step explanation:

Given,

Length of the door = $27\frac{1}{2}\ in$

we can rewrite $27\frac{1}{2}\ in$ as  $\frac{55}{2}\ in$.

We have to find out the length of the towel bar.

Let the length of towel bar be 'x'

`Since Vita wants that the distance from each end of the towel bar to the end of the door to be 9 inches.

So we can say that the length of the towel bar plus  from each end of the towel bar to the end of the door plus  from each end of the towel bar to the end of the door  is equal to length of door.

framing in equation form, we get;

$x+9+9= \frac{55}{2}\\\\x+18 =\frac{55}{2}$

Hence The equation is $x+18 =\frac{55}{2}$.

Now we solve the equation we get;

Subtracting both side by 18 we get;

$x+18-18=\frac{55}{2}-18\\\\x=\frac{55}{2}-18$

Now we will make the denominator common we get;

$x=\frac{55}{2} -\frac{18\times2}2= \frac{55}{2} -\frac{36}2 = \frac{55-36}{2}=\frac{19}{2}\ in \ \ \ OR \ \ \ 9\frac{1}{2}\ in$

Hence The length of the towel bar is $\frac{19}{2}\ in \ \ \ OR \ \ \ 9\frac{1}{2}\ in$.