SOLUTION: 1. If each of four numbers is tripled, their average is multiplied by (A) 12 (B) 3 (C) 4 (D) 9 (E) 81 Please solve step by step i couldn't understand the statement "If eac

Algebra ->  Average -> SOLUTION: 1. If each of four numbers is tripled, their average is multiplied by (A) 12 (B) 3 (C) 4 (D) 9 (E) 81 Please solve step by step i couldn't understand the statement "If eac      Log On


   

Question 724091: 1. If each of four numbers is tripled, their average is multiplied by
(A) 12
(B) 3
(C) 4
(D) 9
(E) 81
Please solve step by step
i couldn't understand the statement "If each of four numbers is tripled, their average is multiplied by"
why the answer will be 12 following the steps
(3a+3b+3c+3d)/4
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
(3a+3b+3c+3d)/4

turns into

3(a+b+c+d)/4

and (a+b+c+d)/4 is the average of a, b, c, d. We'll call this average A

So A = (a+b+c+d)/4

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This means

3(a+b+c+d)/4

turns into

3*A

which tells us that the average A is tripled. So the answer is Choice (B) 3