If the average of p and 4p is 10, then p =
(A) 1
(B) 3
(C) 4
(D) 10
(E) 18
The OA is C.
What equation should I set here? Is this: $$\frac{p+4p}{2p}=10\ ??$$ Help. <i class="em em-confused"></i>
If the average of p and 4p is 10, then p
This topic has expert replies
- GMATGuruNY
- GMAT Instructor
- Posts: 15539
- Joined: Tue May 25, 2010 12:04 pm
- Location: New York, NY
- Thanked: 13060 times
- Followed by:1906 members
- GMAT Score:790
SUM/COUNT = AVERAGEVJesus12 wrote:If the average of p and 4p is 10, then p =
(A) 1
(B) 3
(C) 4
(D) 10
(E) 18
In the problem above:
Sum = p + 4p.
Count = 2.
Average = 10.
Plugging these values into the equation in blue, we get:
(4p + p)/2 = 10
5p = 20
p = 4.
The correct answer is C.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
GMAT/MBA Expert
- [email protected]
- Elite Legendary Member
- Posts: 10392
- Joined: Sun Jun 23, 2013 6:38 pm
- Location: Palo Alto, CA
- Thanked: 2867 times
- Followed by:511 members
- GMAT Score:800
Hi VJesus12,
We're told that the average of P and 4P is 10. We're asked for the value of P. You can solve this problem in a couple of different ways, including by TESTing the ANSWERS. Let's start by TESTing Answer B:
Answer B: 3
IF....P=3 and 4P = 12, then the average of 3 and 12 is (3+12)/2 = 15/2 = 7.5
This is TOO SMALL (it's supposed to be 10
Let's TEST Answer D next...
IF....P=10 and 4P = 40, then the average of 10 and 40 is clearly BIGGER than 10.
This is TOO BIG (it's supposed to be 10.
There's only one Answer that makes sense...
Final Answer: C
GMAT assassins aren't born, they're made,
Rich
We're told that the average of P and 4P is 10. We're asked for the value of P. You can solve this problem in a couple of different ways, including by TESTing the ANSWERS. Let's start by TESTing Answer B:
Answer B: 3
IF....P=3 and 4P = 12, then the average of 3 and 12 is (3+12)/2 = 15/2 = 7.5
This is TOO SMALL (it's supposed to be 10
Let's TEST Answer D next...
IF....P=10 and 4P = 40, then the average of 10 and 40 is clearly BIGGER than 10.
This is TOO BIG (it's supposed to be 10.
There's only one Answer that makes sense...
Final Answer: C
GMAT assassins aren't born, they're made,
Rich
GMAT/MBA Expert
- Jeff@TargetTestPrep
- GMAT Instructor
- Posts: 1462
- Joined: Thu Apr 09, 2015 9:34 am
- Location: New York, NY
- Thanked: 39 times
- Followed by:22 members
We can create the equation:VJesus12 wrote:If the average of p and 4p is 10, then p =
(A) 1
(B) 3
(C) 4
(D) 10
(E) 18
(p + 4p)/2 = 10
5p = 20
p = 4
Answer: C
Jeffrey Miller
Head of GMAT Instruction
[email protected]
See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews