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:
The bar should be placed \(23\frac{1}{24} cm\) from the each edge of the door.
Step-by-step explanation:
Length of the towel bar \(24\frac{1}{4} cm\)
Width of the door = \(70\frac{1}{3} cm\)
Let the distance from the edge of the door to bar be x.
\(2x+24\frac{1}{4} cm=70\frac{1}{3} cm\)
\(2x+\frac{97}{4} cm=\frac{211}{3} cm\)
\(2x=\frac{211}{3} cm-\frac{97}{4}cm\)
\(2x=\frac{211\times 4)-(97\times 3)}{3\times 4} cm\)
\(2x=\frac{553}{12} cm\)
\(x=\frac{553}{24}=23\frac{1}{24} cm\)
The bar should be placed \(23\frac{1}{24} cm\) from the each edge of the door.