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
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.
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.