Question : A girl wants to plant trees in her garden in rows in such a way that the number of trees in each row to be the same. There are 10 rows and the number of trees in each row is 12, what is the number of trees in each row, if there are 5 more rows?
Option 1: 10
Option 2: 8
Option 3: 6
Option 4: 12
Correct Answer: 8
Solution :
The total number of trees in the garden is the product of the number of rows and the number of trees in each row.
Currently, there are 10 rows and 12 trees in each row, so the total number of trees is 10 × 12 = 120
If the girl adds 5 more rows, the total number of rows becomes 15.
The total number of trees remains the same because she's just rearranging them, not adding or removing any trees.
Let T be the number of trees in each row after the change.
⇒ 15 × T = 120
$\therefore$ T = 8
Hence, the correct answer is 8.
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