Together, Andrea and Brian weigh p pounds; Brian weighs 10 pounds more than Andrea. Brian and Andrea's dog, Cubby,

Expert replies

Previous Topic Next Topic

BTGmoderatorDC: Moderator; Posts: 7187; Joined: Thu Sep 07, 2017 4:43 pmFollowed by: 23 members

by BTGmoderatorDC » Sun Jul 12, 2020 5:36 pm

Timer

00:00

Answers

Stats

Difficulty—

Together, Andrea and Brian weigh p pounds; Brian weighs 10 pounds more than Andrea. Brian and Andrea's dog, Cubby, weighs p/4 pounds more than Andrea. In terms of p, what is Cubby's weight in pounds?

(A) p/2 - 10
(B) 3p/4 - 5
(C) 3p/2 - 5
(D) 5p/4 - 10
(E) 5p - 5

OA B

Source: Princeton Review

Like this post

Source: Beat The GMAT — Problem Solving | Sun Jul 12, 2020 5:36 pm

swerve: Legendary Member; Posts: 2560; Joined: Sun Oct 29, 2017 2:04 pmFollowed by: 6 members

Re: Together, Andrea and Brian weigh p pounds; Brian weighs 10 pounds more than Andrea. Brian and Andrea's dog, Cubby,

by swerve » Mon Jul 13, 2020 4:05 am

BTGmoderatorDC wrote: ↑
Sun Jul 12, 2020 5:36 pm
Together, Andrea and Brian weigh p pounds; Brian weighs 10 pounds more than Andrea. Brian and Andrea's dog, Cubby, weighs p/4 pounds more than Andrea. In terms of p, what is Cubby's weight in pounds?

(A) p/2 - 10
(B) 3p/4 - 5
(C) 3p/2 - 5
(D) 5p/4 - 10
(E) 5p - 5

OA B

Source: Princeton Review

We can try as follows

$A + B = p \quad (1)$
$B = A + 10 \quad (2)$

Subtract (2) from (1)
$A = p + A - 10$
$2A = p - 10$
$A = \dfrac{p}{2} - 5$

Now plug this in
$C = \dfrac{p}{4} + A$

$C = \dfrac{p}{4} + \dfrac{p}{2} -5$

$C = \dfrac{3p}{4} - 5$

Therefore, B

Like this post

GMAT/MBA Expert

Scott@TargetTestPrep: GMAT Instructor; Posts: 8176; Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members; Location: Los Angeles, CA; Thanked: 43 times

Re: Together, Andrea and Brian weigh p pounds; Brian weighs 10 pounds more than Andrea. Brian and Andrea's dog, Cubby,

by Scott@TargetTestPrep » Sun Jul 19, 2020 9:02 am

BTGmoderatorDC wrote: ↑
Sun Jul 12, 2020 5:36 pm
Together, Andrea and Brian weigh p pounds; Brian weighs 10 pounds more than Andrea. Brian and Andrea's dog, Cubby, weighs p/4 pounds more than Andrea. In terms of p, what is Cubby's weight in pounds?

(A) p/2 - 10
(B) 3p/4 - 5
(C) 3p/2 - 5
(D) 5p/4 - 10
(E) 5p - 5

OA B

Solution:

We can let A, B, and C be the weights of Andrea, Brian, and Cubby, respectively. We can create the equations:

A + B = p

B = A + 10

and

C = A + p/4

Substituting A + 10 for B in the first equation, we have:

A + A + 10 = p

2A = p - 10

A = p/2 - 5

Now, substituting p/2 - 5 for A in the third equation, we have:

C = p/2 - 5 + p/4

C = 3p/4 - 5

Answer: B

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

Like this post

Post new topic Post Reply

• Page 1 of 1

GMAT Course Reviews

560 reviews

1168 reviews

431 reviews

359 reviews

147 reviews

5/5

5 Star (560 Reviews)

"Target Test Prep is the closest to the official version of the GMAT exam, about 99% accuracy in terms of the quality and quantity of information. The course has excellently created singular sets of focused lessons and tests for every possible topic that one could come across in the official GMAT exam."

"The TTP course maximizes the efficiency of the time you spend studying. It will take time and effort but I could almost guarantee that if you complete the course exactly as it is laid out you will get an amazing score. They also have a very responsive team willing to help with any questions you might have."

"TTP has two things that I think no other test prep company offers: A teaching approach that reinforces understanding and an attitude that will give you the mental preparedness needed to succeed on the test. TTP gives you a deep understanding of the concept you need to know while teaching you how to think."

Write a Review