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.)

Respuesta :

70 1/3- 24 1/4=?
70 4/12- 24 3/12= 46 1/12
46 1/12 /2= 23 1/24

Answer:

The bar should be placed [tex]23\frac{1}{24} cm[/tex] from the each edge of the door.

Step-by-step explanation:

Length of the towel bar  [tex]24\frac{1}{4} cm[/tex]

Width of the door = [tex]70\frac{1}{3} cm[/tex]

Let the distance from the edge of the door to bar be x.

[tex]2x+24\frac{1}{4} cm=70\frac{1}{3} cm[/tex]

[tex]2x+\frac{97}{4} cm=\frac{211}{3} cm[/tex]

[tex]2x=\frac{211}{3} cm-\frac{97}{4}cm[/tex]

[tex]2x=\frac{211\times 4)-(97\times 3)}{3\times 4} cm[/tex]

[tex]2x=\frac{553}{12} cm[/tex]

[tex]x=\frac{553}{24}=23\frac{1}{24} cm[/tex]

The bar should be placed [tex]23\frac{1}{24} cm[/tex] from the each edge of the door.

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