Bal Bharti Vidyalaya is located in the Karauli district of Rajasthan. The school decided to go for a plantation drive for 2 days on the occasion of Vanmahotsava. The Principal of the Vidyalaya asked the forest department to provide plants. It was decided that each student has to plant an equal number of trees on both days. On the first day, all the participants planted 5 trees each. The number of boys and girls who participated was in the ratio 5:4. (i) If the number of trees planted by the students on the first day was 5400, how many boys participated? [1] (ii) Find the total number of students who participated in this program? [1] (iii) If the total number of trees planted on the second day was 7560, then how many trees were planted by each one of them

Given, Bal Bharti Vidyalaya is located in the Karauli district of Rajasthan. The school decided to go for a plantation drive for 2 days on the occasion of Vanmahotsava.

The Principal of the Vidyalaya asked the forest department to provide plants. It was decided that each student has to plant an equal number of trees on both days.
On the first day, all the participants planted 5 trees each. .
The number of boys and girls who participated was in the ratio of 5x:4x.

i). If the number of trees planted by the students on the first day was 5400.

We Know, Each Student Has Planted 5 Plants on First day So, Girls And Boys Ratio are 5x : 4x , Thus Total Students Are 9x .

NOw, This 9x Planted 9x × 5 ⇒ 45x Trees on First Day.

45x = 5400 ⇔ x=120

So, The Number Of Boys Are 5x = 5 * 120 ⇒ 600Boys

And, The Number of Girls Are 4x = 4 * 120 ⇒ 480Girls

ii). the total number of students who participated in this program is 600 boys + 480 Girls = 1080 Students.

iii). If the total number of trees planted on the second day was 7560. We Know Every Student Plant Equal Number Of trees on each day.

So, 1080 Students Planted 7560 Plants

Therefor, each Student Planted 7560/1080 = 7 Trees Each On Second day.