David and Ron are ordering food for a business lunch.

Expert replies

Previous Topic Next Topic

BTGModeratorVI: Legendary Member; Posts: 1223; Joined: Sat Feb 15, 2020 2:23 pmFollowed by: 1 member

by BTGModeratorVI » Sat Jun 13, 2020 5:43 am

Timer

00:00

Your answer

Difficulty–

right wrong

Pick an answer to see how members did

David and Ron are ordering food for a business lunch. David thinks that there should be twice as many sandwiches as there are pastries, but Ron thinks the number of pastries should be 12 more than one-fourth of the number of sandwiches. How many sandwiches should be ordered so that David and Ron can agree on the number of pastries to order?

А. 12
B. 16
C. 20
D. 24
E. 48

Answer: E
Source: Official guide

Source: Beat The GMAT — Problem Solving | Sat Jun 13, 2020 5:43 am

GMAT/MBA Expert

Brent@GMATPrepNow: GMAT Instructor; Posts: 16206; Joined: Mon Dec 08, 2008 6:26 pmFollowed by: 1268 members; Location: Vancouver, BC; Thanked: 5254 times; GMAT Score:770

Re: David and Ron are ordering food for a business lunch.

by Brent@GMATPrepNow » Sat Jun 13, 2020 10:43 am

BTGModeratorVI wrote: ↑
Sat Jun 13, 2020 5:43 am
David and Ron are ordering food for a business lunch. David thinks that there should be twice as many sandwiches as there are pastries, but Ron thinks the number of pastries should be 12 more than one-fourth of the number of sandwiches. How many sandwiches should be ordered so that David and Ron can agree on the number of pastries to order?

А. 12
B. 16
C. 20
D. 24
E. 48

Answer: E
Source: Official guide

Let S = the number of sandwiches to order
Let P = the number of pastries to order

David thinks that there should be twice as many sandwiches as there are pastries
In other words, the number of sandwiches is twice the number of pastries
We can write: S = 2P

Ron thinks the number of pastries should be 12 more than one-fourth of the number of sandwiches.
We can write: P = S/4 + 12

How many sandwiches should be ordered so that David and Ron can agree on the number of pastries to order?
We now have the following system:
S = 2P
P = S/4 + 12

Take the top equation and replace P with S/4 + 12 to get: S = 2(S/4 + 12)
Simplify: S = S/2 + 24
Multiply both sides of the equation by 2 to get: 2S = S + 48
Subtract S from both sides to get: S = 48

Answer: E

Cheers,
Brent

Brent Hanneson - Creator of GMATPrepNow.com

Featured schoolRound 2 closes Jan 7, 2027 54 days left

Chicago Booth

Since 1982, 10 Booth faculty members have received the Nobel Prize in Economic Sciences, more than any other business school.

#3
U.S. News rank: $175,000
Median base salary: 670
Average GMAT Focus: 635
Students in the class

Apply to Booth Visit chicagobooth.edu See the full profile

Photo: Warren LeMay, CC BY-SA 2.0

GMAT Course Reviews

563 reviews

1168 reviews

431 reviews

359 reviews

147 reviews

5/5

5 Star (563 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