At Perry High School, the ratio of students who participate

Expert replies

Previous Topic Next Topic

AAPL: Moderator; Posts: 2632; Joined: Sun Oct 29, 2017 2:08 pmFollowed by: 2 members

by AAPL » Tue Oct 30, 2018 4:13 am

Timer

00:00

Answers

Stats

Difficulty—

0% CorrectAvg —

0% IncorrectAvg —

Princeton Review

At Perry High School, the ratio of students who participate in either the band program or the choral program to students who participate in neither program is 3 to 8. If 220 students attend Perry High School, how many of them do NOT participate in either program?

A. 40
B. 60
C. 100
D. 160
E. 180

OA D.

Like this post

Source: Beat The GMAT — Problem Solving | Tue Oct 30, 2018 4:13 am

fskilnik@GMATH: GMAT Instructor; Posts: 1449; Joined: Sat Oct 09, 2010 2:16 pmFollowed by: 33 members; Thanked: 59 times

At Perry High School, the ratio of students who participate

by fskilnik@GMATH » Tue Oct 30, 2018 6:21 am

AAPL wrote:Princeton Review

At Perry High School, the ratio of students who participate in either the band program or the choral program to students who participate in neither program is 3 to 8. If 220 students attend Perry High School, how many of them do NOT participate in either program?

A. 40
B. 60
C. 100
D. 160
E. 180

Trivial application of the k technique and Venn diagrams ("overlapping sets"):

\[\frac{{B \cup C}}{{{\text{none}}}} = \frac{3}{8}\,\,\,\,\,\,\, \Rightarrow \,\,\,\,\,\left\{ \begin{gathered}
\,B \cup C\,\,{\text{ = }}\,\,{\text{3}}k \hfill \\
\,{\text{none}}\,\, = \,\,8k \hfill \\
\end{gathered} \right.\,\,\,\,\,\,\,(k > 0)\,\,\,\,\,\,\,\,\,\left( * \right)\]
\[? = {\text{none}}\,\, = \,\,8k\]
\[220 = {\text{Total}}\,\,{\text{ = }}\,\,B \cup C\,\,{\text{ + }}\,\,{\text{none}}\,\,\,\,\mathop \Rightarrow \limits^{\left( * \right)} \,\,\,\,\,220\,\, = \,\,\,11k\]
\[?\,\,\, = \,\,\,\left( {\frac{8}{{11}}} \right) \cdot 11k\,\,\, = \,\,\,\left( {\frac{8}{{11}}} \right) \cdot 220\,\,\, = \,\,\,160\]

This solution follows the notations and rationale taught in the GMATH method.

Regards,
fskilnik.

Fabio Skilnik :: GMATH method creator ( Math for the GMAT)
English-speakers :: https://www.gmath.net
Portuguese-speakers :: https://www.gmath.com.br

Like this post

GMAT/MBA Expert

Scott@TargetTestPrep: GMAT Instructor; Posts: 8135; Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members; Location: Los Angeles, CA; Thanked: 43 times

by Scott@TargetTestPrep » Wed Oct 31, 2018 5:27 pm

AAPL wrote:Princeton Review

At Perry High School, the ratio of students who participate in either the band program or the choral program to students who participate in neither program is 3 to 8. If 220 students attend Perry High School, how many of them do NOT participate in either program?

A. 40
B. 60
C. 100
D. 160
E. 180

We can create the equation:

3x + 8x = 220

11x = 220

x = 20

Thus, we see that 8(20) = 160 students do not participate in either program.

Answer: D

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

559 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