Question

An orchard has 551 orange trees. The number of rows exceeds the number of trees per row by 10. How many trees are there in each row?

Answer 1

Answer:

Step-by-step explanation:

the number of rows = n

The number of trees per row = n + 10

n * (n + 10) = 551             Remove the brackets

n^2 +  10n = 551             Subtract 551 from both sides

n^2 + 10n - 551 = 0         This factors.

(n - 19)(n + 29) = 0

Note n + 29 is an extraneous (extra) root which does not work

n - 19 = 0

n = 19

There are  19 rows

Each row contains 19 trees.