There are 3x-2 trees planted in each row of a rectangular Parcel of land. If there are a total of 24x-16 trees planted and the parcel, how many rows of trees are there in the parcel?

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latisha20050 latisha20050

07-07-2014
Mathematics

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There are 3x-2 trees planted in each row of a rectangular Parcel of land. If there are a total of 24x-16 trees planted and the parcel, how many rows of trees are there in the parcel?

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AL2006 AL2006 · Answer 1 · 2014-07-07T22:30:11-04:00

Let's call the number of rows 'R' . (Clever ?)

There are (3x -2) trees in each row, and there are 'R' rows,
so the total number of trees is [ R times (3x-2) ].

But the problem told you that the total number of trees is (24x-16).
So
   R(3x - 2) = (24x - 16)

For a quick, happy ending, how about factoring '8' out of the right side:

   R(3x - 2) = 8(3x - 2)

Is it jumping out at you yet ?
If not, then divide each side by (3x - 2) :

   R = 8

There are eight (8) rows of trees.