Question 1037136
Hi there,
Make the Third group
contain 'x' students.
Second group contains
1 student less than the 3rd.
= (x - 1)
The First group contains 4
more students than the 2nd
= (x - 1) + 4
= x + 3
The Fourth group contains
twice as many students as
the 2nd group.
= 2(x - 1)
= 2x - 2
................
First group = (x + 3)
Second group = (x - 1)
Third group = x
Fourth group = 2x - 2
Add all the groups up:
(x + 3) + (x - 1) + (x) + (2x - 2)
x + 3 + x - 1 + x + 2x - 2 = 20
Collect like terms:
5x = 20
x = 4
.................
First group = (x + 3)= 7
Second group = (x - 1)= 3
Third group = x = 4
Fourth group = 2x - 2 = 6
..............
7,3,4 and 6.
Hope this helps:-)