SOLUTION: A pear farm contains 126 trees. The number of trees per row is five more than the number of rows. Find the number of rows.

Question 235566: A pear farm contains 126 trees. The number of trees per row is five more than the number of rows. Find the number of rows.
Answer by Stitch(470) (Show Source): You can put this solution on YOUR website!
Setup:
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A = Number of Rows
B = Number of Trees per row
Equation 1:
Equation 2:
Solution:
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Plug (B-5) into Equation 1 for A

Rewrite the equation
Set the equation to 0 by subtract 126 from both sides

Find the factors of 126
The factors are: 1, 2, 3, 6, 7, 9, 14, 18 21, 42,63,126
Notice that 9 and 14 are the factors that are 5 apart and we have a -5B
So the equation can be foiled

Looking at we see two solutions
rewritten as
& rewritten as
Since we can not have a negative number of trees, we will use B = 14
Now plug 14 into equation 2 for B
Equation 2:

Check your answer:
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Using A = 9 & B = 14 Solve equation 1
Equation 1:

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