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Re: If x + y= 8z, then which of the following represents the average (arit
[#permalink]
09 Aug 2021, 15:51
Carcass wrote:
If x + y= 8z, then which of the following represents the average (arithmetic mean) of x, y, and z, in terms of z ?
(A) 2z + 1 (B) 3z (C) 5z (D) z/3 (E) 3z/2
Here's a solution that involves the INPUT-OUTPUT approach.
Given: x + y = 8z So, one possible solution to this equation is x = 7, y = 9 and z = 2
Which of the following represents the average (arithmetic mean) of x, y, and z, in terms of z? Average = (x + y + z)/2 = (7 + 9 + 2)/2 = 18/3 = 6
So, when we INPUT x = 2, the answer to the question is 6 So, we're looking for an answer choice that OUTPUTS a 6 when we INPUT x = 2 Let's check the answer choices...
(A) 2(2) + 1 = 5. No good. We want 6. ELIMINATE (B) 3(2) = 6. KEEP (C) 5(2) = 10. No good. We want 6. ELIMINATE (D) 2/3 = 2/3. No good. We want 6. ELIMINATE (E) 3(2)/2 = 3. No good. We want 6. ELIMINATE