NUMBERS oF TREES?

Question

At a tree planting project,each person plants the same number of trees.If 3 trees are planted by each then 9 trees are left.If 5 trees are planted by each then 3 trees are left.Tell the number of volunteers and the number of total trees.

Answer 1

Let x be no. of volunteers and y be no. of trees.

so in case 1

                      3x+9=y

n in case 2  

                      5x+3=y

Solving both equations we get,

x=3    (no. of volunteers)

y=18  ( no. of trees)

Answer 2

Number of volunteers = x

Number of trees to be planted = y

If 3 trees are planted by each then 9 trees are left. This  gives the following equation

3x + 9 = y

If  5 trees are planted by each then 3 trees are left. This  gives the following equation

5x+3 = y

i.e. 3x + 9 = 5x +3

i.e. x =3 and y= 18

Number of volunteers = x =3

Number of trees to be planted = y =18