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You want to place a towel bar that is 8 1⁄4 inches long in the center of a door that is 26 1⁄3 inches long. How far should you place the bar from each edge of the door?

 Jul 14, 2014

Best Answer 

 #2
avatar+118696 
+13

Thanks Ninja,

I would have just said

26138142

 

((26+13)(8+14))2=21724=9.0416666666666667

 

217mod24=1   

 (I just wanted to try out the mod function on the calcuator - I haven't used it before  

Answer = 9 and 1/24 inches

 Jul 15, 2014
 #1
avatar+3454 
+13

We can set this up as an algebraic equation. X will equal the distance from the side of the door to the towel bar.

2x + 8 1/4 = 26 1/3

2x +33/4 = 79/3           ---Multiply the first fraction by 3/3 and the second by 4/4 to get a common denimiator.

2x + 99/12 = 316/12           ---Subtract 99/12 from both sides

2x = 217/12                      ---Divide both sides by 2

x = 217/12 ÷ 2             ---Dividing is the same as multiplying by the reciprocal

x = 217/12 * 1/2

x = 217/24

x = 9 and 1/24 inches

 

Here's a picture of this door:

 

To check this, let's add 8 1/4 +  9 1/24 + 9 1/24, and if they equal 26 1/3 inches then it works!

 8 1/4 +  9 1/24 + 9 1/24

8 1/4 + 18 2/24

26 + 1/4 + 2/24         ---Multiply 1/4 by 6/6 to get a common denominator

26 + 6/24 + 2/24

26 + 8/24                     ---Reduce the fraction by dividing the top and bottom by 8

26 + 1/3

 

It works!

 Jul 14, 2014
 #2
avatar+118696 
+13
Best Answer

Thanks Ninja,

I would have just said

26138142

 

((26+13)(8+14))2=21724=9.0416666666666667

 

217mod24=1   

 (I just wanted to try out the mod function on the calcuator - I haven't used it before  

Answer = 9 and 1/24 inches

Melody Jul 15, 2014

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