SOLUTION: If the average of s and t is 25, and t is equal to the average of w and x, what is the value of 2s in terms of w and x? (A) 25 + w + x (B) 25 - w - x (C) 50 - w - x (D) 50- 2w -

Algebra ->  Conjunction -> SOLUTION: If the average of s and t is 25, and t is equal to the average of w and x, what is the value of 2s in terms of w and x? (A) 25 + w + x (B) 25 - w - x (C) 50 - w - x (D) 50- 2w -      Log On


   

Question 259684: If the average of s and t is 25, and t is equal to the average of w and x, what is the value of 2s in terms of w and x?
(A) 25 + w + x (B) 25 - w - x (C) 50 - w - x (D) 50- 2w - 2x (E) 100 - 2w - 2x

Found 3 solutions by stanbon, Fombitz, studant:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
If the average of s and t is 25, and t is equal to the average of w and x, what is the value of 2s in terms of w and x?
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(s + t)/2 = 25
So, s+t = 50
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t = (w+x)/2
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Substitute for "t" and solve for "s":
s + (w+x)/2 = 50
2s + w + x = 100
2s = [100 -w -x]
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Cheers,
Stan H.

(A) 25 + w + x (B) 25 - w - x (C) 50 - w - x (D) 50- 2w - 2x (E) 100 - 2w - 2x

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
%28s%2Bt%29%2F2=25
1.s%2Bt=50
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t=%28w%2Bx%29%2F2
2.2t=w%2Bx
From eq. 1,
2s%2B2t=100
2s=100-2t
Then using eq. 2,
2s=100-%28w%2Bx%29
2s=100-w-x
None of the above.
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As a supporting example,
let s=40, t=10, %28s%2Bt%29%2F2=50%2F2=25
let w=15, x=5, t=%2815%2B5%29%2F2=10
then 2s=100-w-x=100-15-5=80
2%2840%29=80
so that equation is correct.
The answer should be
2s=100-w-x

Answer by studant(1) About Me  (Show Source):
You can put this solution on YOUR website!
Inf to the fourth power divided by 2