people of sundergram planted a total of 102 trees in the village garden some of the trees were fruit tress.the number of non fruit trees were two more than three times the number of the fruit trees. what was the number of fruit tree planted?
f + (3f+2) = 102
To find the number of fruit trees planted in the Sundergram village garden, we need to set up equations based on the given information.
Let's assume the number of fruit trees planted is 'x'.
According to the problem, the number of non-fruit trees is two more than three times the number of fruit trees. So, the number of non-fruit trees can be represented as 3x + 2.
The total number of trees planted in the village garden is given as 102. Therefore, the sum of the fruit trees and non-fruit trees should equal 102. Thus, we can write the equation as:
x + (3x + 2) = 102
Now, let's solve this equation to find the value of 'x', which represents the number of fruit trees.
Combining like terms: 4x + 2 = 102
Subtracting 2 from both sides: 4x = 100
Dividing both sides by 4: x = 25
Therefore, the number of fruit trees planted in the Sundergram village garden is 25.