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October 20, 2014

October 20, 2014

Posted by **es** on Thursday, January 10, 2013 at 6:55am.

A carpenter has several boards of equal length. He cuts 3/5 of each board. After cutting the boards the carpenter noticies he has enough pieces left to make up the same length as 4 origional boards. How many origional boards did he start with?

Someone told me the answer is 10 but I do not understand how they got it. I would like to know how to do the question, so can you explain the steps.

Thanks

- math -
**Reiny**, Thursday, January 10, 2013 at 8:52amLet the number of boards he had be x

So the number of pieces he has left over is (2/5)x

So he wants to have 4 lengths or 4x created by these (2/5)x's

(2/5)x --> 4 * (2/20)x ----> 4x * (1/10)

or

4x ÷ ((2/5)x)

= 4x * ((5/2)(1/x))

= 10

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