Problema Solution
An apple orchard contains 198 trees. The number of trees in each row is 4 less than twice the number of rows. Find the number of rows and the number of trees per row.
Answer provided by our tutors
Let R = number of Rows
Let T = number of Trees per row
Since number of trees in each row is 4 less than twice the number of rows we have:
T = 2R - 4
We are told that the total trees is 198:
Total trees = R * T
R*T = 198
Plug T = 2R - 4 into R*T = 198:
R*(2R - 4) = 198
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click here to see the quadratic equation solved for R
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R = 11 rows
We need to ignore the negative solution -9 since the number of rows is always positive number.
T = 2*11 - 4
T = 18 trees
There are 11 rows and 18 trees per row.