SOLUTION: If w + x = 5(y + z), which of the following is the average (arithmetic mean_ of w, x, y, and z? A) (y + z)/5 B) [3(y + z)]/8 C) (y + z)/3 D) [3(y + z)]/2 E) y + z Please

Algebra ->  Average -> SOLUTION: If w + x = 5(y + z), which of the following is the average (arithmetic mean_ of w, x, y, and z? A) (y + z)/5 B) [3(y + z)]/8 C) (y + z)/3 D) [3(y + z)]/2 E) y + z Please       Log On


   



Question 474818: If w + x = 5(y + z), which of the following is the average (arithmetic mean_ of w, x, y, and z?
A) (y + z)/5
B) [3(y + z)]/8
C) (y + z)/3
D) [3(y + z)]/2
E) y + z
Please explain how I could approach and solve this problem. Thanks!

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
D) [3(y + z)]/2

Since w + x = 5(y+z), then 5(w+x) = 25(y+z).
==> 5(w+x+y+z) = 5(w+x) + 5(y+z) = 25(y+z) + 5(y+z) = 30(y+z).
==>