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If the average (arithmetic mean) of 3, 6, and z is less than or equal

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trojanhawk
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If the average (arithmetic mean) of 3, 6, and z is less than or equal [#permalink] New post   03 Feb 2020, 17:52
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If the average (arithmetic mean) of 3, 6, and z is less than or equal to 75, what is the greatest possible value of 3 + 6 + z ?

A. 66

B. 75

C. 111

D. 225

E. 234
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D
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trojanhawk
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Re: If the average (arithmetic mean) of 3, 6, and z is less than or equal [#permalink] New post   03 Feb 2020, 17:55
Careless mistake:

I see it now.

I kept solving for z and got 216, but it was 3 + 6 + z which equals 225.

Dang
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minustark
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Re: If the average (arithmetic mean) of 3, 6, and z is less than or equal [#permalink] New post   03 Feb 2020, 21:37
If the average (arithmetic mean) of 3, 6, and z is less than or equal to 75, what is the greatest possible value of 3 + 6 + z ?

A. 66

B. 75

C.111

D.225

E.234

The greatest sum of these 3 numbers can be 75*3 = 225. so the answer is D.
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Re: If the average (arithmetic mean) of 3, 6, and z is less than or equal [#permalink] New post   04 Feb 2020, 00:54
if \(\frac{3+6+z}{3} ≤ 75\) ------> then \(3+6+z ≤ 75*3 = 225\)
D
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tagheueraquaracer
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Re: If the average (arithmetic mean) of 3, 6, and z is less than or equal [#permalink] New post   31 Oct 2020, 01:09
trojanhawk wrote:
Careless mistake:

I see it now.

I kept solving for z and got 216, but it was 3 + 6 + z which equals 225.

Dang


I did the similar mistake as well. Silly us.
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Re: If the average (arithmetic mean) of 3, 6, and z is less than or equal [#permalink] New post   11 Sep 2022, 04:06
Hello from the GMAT Club BumpBot!

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Re: If the average (arithmetic mean) of 3, 6, and z is less than or equal [#permalink]
11 Sep 2022, 04:06
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