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Two sizes of concrete blocks are being used to build a raised garden bed for strawberries. The first kind of block is 12 inches long and the second is 20 inches long. A row of shorter blocks is laid on top of a row of longer blocks. Using only whole blocks, what is the shortest length for which the two rows of blocks are equally long

 May 20, 2015

Best Answer 

 #1
avatar+129839 
+5

We can find the answer just by getting the least common denominator between 12 and 20

 

12 = 2^2 x 3

20 = 2^2 x 5

 

And the LCD =  2^2 x 3 x 5 = 13 x 5 = 60 inches

 

So  60/12  = 5    and 60/20 = 3

 

When the length is 60 inches......3 of the 20 inch bocks will have been laid and 5 of the 12 inch blocks will have been laid.

 

 

 May 20, 2015
 #1
avatar+129839 
+5
Best Answer

We can find the answer just by getting the least common denominator between 12 and 20

 

12 = 2^2 x 3

20 = 2^2 x 5

 

And the LCD =  2^2 x 3 x 5 = 13 x 5 = 60 inches

 

So  60/12  = 5    and 60/20 = 3

 

When the length is 60 inches......3 of the 20 inch bocks will have been laid and 5 of the 12 inch blocks will have been laid.

 

 

CPhill May 20, 2015

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