On the occasion of Van Mahotsav it was decided by the Secretary of Residents Welfare Association to plant saplings of Ashoka trees and Mango trees in the locality. Accordingly Ashoka trees were planted in (3x + 1) rows having (x3 + x2 – 1) trees in each row and Mango trees were planted in (x – 3) rows having (2x2 + 1) trees in each row.(i) Find the total number of trees planted.
Question
On the occasion of Van Mahotsav it was decided by the Secretary of Residents Welfare Association to plant saplings of Ashoka trees and Mango trees in the locality. Accordingly Ashoka trees were planted in (3x + 1) rows having (x3 + x2 – 1) trees in each row and Mango trees were planted in (x – 3) rows having (2x2 + 1) trees in each row.(i) Find the total number of trees planted.
Solution
To find the total number of trees planted, we need to multiply the number of rows by the number of trees in each row for both Ashoka trees and Mango trees.
For Ashoka trees: The number of rows is given by (3x + 1) and the number of trees in each row is given by (x^3 + x^2 - 1). So, the total number of Ashoka trees planted is (3x + 1)(x^3 + x^2 - 1).
For Mango trees: The number of rows is given by (x - 3) and the number of trees in each row is given by (2x^2 + 1). So, the total number of Mango trees planted is (x - 3)(2x^2 + 1).
To find the total number of trees planted, we add the total number of Ashoka trees and Mango trees together:
Total number of trees = (3x + 1)(x^3 + x^2 - 1) + (x - 3)(2x^2 + 1)
This equation will give you the total number of trees planted in terms of x. To get a specific number, you would need to know the value of x.
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