Let P = (x + y)k. If P = 10 and k = 3, what is the average of x and y?
(A) 0
(B) 1/2
(C) 5/3
(D) 10/3
(E) 7/2
Can some experts help me find the best solution in this problem?
OA C
Let P = (x + y)k. If P = 10 and k = 3
This topic has expert replies
-
- Moderator
- Posts: 7187
- Joined: Thu Sep 07, 2017 4:43 pm
- Followed by:23 members
- DavidG@VeritasPrep
- Legendary Member
- Posts: 2663
- Joined: Wed Jan 14, 2015 8:25 am
- Location: Boston, MA
- Thanked: 1153 times
- Followed by:128 members
- GMAT Score:770
Ultimately, we want to solve for the average of x and y, or (x + y)/2. Initially, we're given 10 = (x + y) * 3lheiannie07 wrote:Let P = (x + y)k. If P = 10 and k = 3, what is the average of x and y?
(A) 0
(B) 1/2
(C) 5/3
(D) 10/3
(E) 7/2
Can some experts help me find the best solution in this problem?
OA C
10/3 = x + y
1/2 * (10/3) = (x + y)/2
5/3 = (x + y)/2
The answer is C
GMAT/MBA Expert
- Brent@GMATPrepNow
- GMAT Instructor
- Posts: 16207
- Joined: Mon Dec 08, 2008 6:26 pm
- Location: Vancouver, BC
- Thanked: 5254 times
- Followed by:1268 members
- GMAT Score:770
Given: P = (x + y)k, P = 10, and k = 3lheiannie07 wrote:Let P = (x + y)k. If P = 10 and k = 3, what is the average of x and y?
(A) 0
(B) 1/2
(C) 5/3
(D) 10/3
(E) 7/2
Plug in P = 10 and k = 3, to get: 10 = (x + y)(3)
Divide both sides by 3 to get: 10/3 = (x + y)
What is the average of x and y?
The average of x and y = (x + y)/2
= (10/3)/2
= 10/6
= 5/3
= C
Cheers,
Brent
- EconomistGMATTutor
- GMAT Instructor
- Posts: 555
- Joined: Wed Oct 04, 2017 4:18 pm
- Thanked: 180 times
- Followed by:12 members
Hi lheiannie07,Let P = (x + y)k. If P = 10 and k = 3, what is the average of x and y?
(A) 0
(B) 1/2
(C) 5/3
(D) 10/3
(E) 7/2
Let's take a look at your question.
$$P\ =\left(x+y\right)k$$
$$10\ =\left(x+y\right)3$$
$$x+y=\frac{10}{3} ... (i)$$
We know that average of x and y can be calculated as,
$$Average\ =\ \frac{x+y}{2}$$
Plugin the value of x+y from eq(i), we get:
$$Average\ =\ \frac{10}{3\times2}$$
$$Average\ =\ \frac{5}{3}$$
Therefore, option C is correct.
Hope it helps.
I am available if you'd like any follow up.
GMAT Prep From The Economist
We offer 70+ point score improvement money back guarantee.
Our average student improves 98 points.
We offer 70+ point score improvement money back guarantee.
Our average student improves 98 points.
GMAT/MBA Expert
- Scott@TargetTestPrep
- GMAT Instructor
- Posts: 7222
- Joined: Sat Apr 25, 2015 10:56 am
- Location: Los Angeles, CA
- Thanked: 43 times
- Followed by:29 members
We are given that P = (x + y)k, P = 10, and k = 3. Thus:lheiannie07 wrote:Let P = (x + y)k. If P = 10 and k = 3, what is the average of x and y?
(A) 0
(B) 1/2
(C) 5/3
(D) 10/3
(E) 7/2
10 = (x + y)3
10/3 = x + y
Since x + y = 10/3, the average of x and y is (x +y)/2 = (10/3)/2 = 10/6 = 5/3.
Answer: C
Scott Woodbury-Stewart
Founder and CEO
[email protected]
See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews