Question

In an excursion, each student in the group planted as many trees as the
total number of students in the group while the group leader planted
twice the number. If, in all, eighty trees were planted, how many trees
were planted by the group leader?​

Answer 1

Answer:

40 i guess

Step-by-step explanation:

Answer 2

Trees planted by leader are  16 if each student in the group planted as many trees as the total number of students in the group and the group leader planted twice the number and 80 tress planted in total

Given:

• Each student in the group planted as many trees as the total number of students in the group
• Group leader planted twice the number
• In all, eighty trees were planted

To Find:

• Trees planted by the group leader

Solution:

Step 1:

Assume that  Trees planted by the group leader are 2x

Step 2:

Find Trees planted by the Each students as  group leader planted

twice the number

= 2x/2

= x

Step 3:

Find number of students as  each student in the group planted as many trees as the total number of students in the group

= x

Step 4:

Find total number of  planted trees and equate with 80x

x² + 2x = 80

Step 5:

Solve for x

x² + 2x - 80 = 0

x² + 10x - 8x - 80 = 0

x(x + 10) - 8(x + 10) = 0

(x - 8)(x + 10) = 0

x = 8 , x = - 10

Students can not be negative hence x = 8

Step 6:

Calculate 2x

2 x 8 = 16

Hence Trees planted by leader = 16