Question

You want to place a towel bar that is 24 1⁄4 centimeters long in the center of a door that is 70 1⁄3 centimeters wide. How far should you place the bar from each edge of the door? (Write the answer as a mixed number. )

Answer 1

let the distance be x
x +24 1/4 + x = 70 1/3
2x=70-24 +(1/3 - 1/4)=46+(1/12)= 46 1/12

so, x=23 1/24

Answer 2

The bar from each edge of the door is
`23(1)/(24)` centimeter.

Explanation:

Given : You want to place a towel bar that is
`24(1)/(4)` centimeters long in the center of a door that is
`70(1)/(3)` centimeters wide.

To find : How far should you place the bar from each edge of the door?

Solution :

Let the distance of bar be 'x'.

As we placed the towel bar in the center of the door it divides into two i.e. '2x'

According to question,

`24(1)/(4)+2x=70(1)/(3)`

`(97)/(4)+2x=(211)/(3)`

`2x=(211)/(3)-(97)/(4)`

`2x=(211* 4-97* 3)/(12)`

`2x=(844-291)/(12)`

`2x=(553)/(12)`

`x=(553)/(12* 2)`

`x=(553)/(24)`

`x=23(1)/(24)`

Therefore, The bar from each edge of the door is
`23(1)/(24)` centimeter.