• NEW! FREE Beat The GMAT Quizzes
Hundreds of Questions Highly Detailed Reporting Expert Explanations
• 7 CATs FREE!
If you earn 100 Forum Points

Engage in the Beat The GMAT forums to earn
100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## Andrew bought pizzas for his swim team. Pepperoni pizzas cos ##### This topic has 2 expert replies and 0 member replies ### Top Member ## Andrew bought pizzas for his swim team. Pepperoni pizzas cos ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult Andrew bought pizzas for his swim team. Pepperoni pizzas cost$13 and combination pizzas cost $17 and he bought only pepperoni or combination pizzas. He spent a total of$184 on pizzas. How many pizzas did he buy?

(A) 12
(B) 13
(C) 14
(D) 15
(E) 16

OA A

Source: Princeton Review

### GMAT/MBA Expert

GMAT Instructor
Joined
25 Apr 2015
Posted:
2791 messages
Followed by:
18 members
43
BTGmoderatorDC wrote:
Andrew bought pizzas for his swim team. Pepperoni pizzas cost $13 and combination pizzas cost$17 and he bought only pepperoni or combination pizzas. He spent a total of $184 on pizzas. How many pizzas did he buy? (A) 12 (B) 13 (C) 14 (D) 15 (E) 16 OA A Source: Princeton Review Letting p = the number of pepperoni pizzas bought and c = the number of combination pizzas bought, we can create the equation: 13p + 17c = 184 13p = 184 - 17c p = (184 - 17c)/13 We can see we can buy at most 10 combination pizzas. (If the value of c were more than 10, then the number of pepperoni pizzas bought would be negative.) If c = 10, then p = (184 - 170)/13 = 14/13, which is not an integer. If c = 9, then p = (184 - 153)/13 = 31/13, which is not an integer. If c = 8, then p = (184 - 136)/13 = 48/13, which is not an integer. If c = 7, then p = (184 - 119)/13 = 65/13 = 5, which is an integer. Therefore, a total of 7 + 5 = 12 pizzas are bought. Answer: A _________________ Scott Woodbury-Stewart Founder and CEO scott@targettestprep.com See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews ### GMAT/MBA Expert GMAT Instructor Joined 25 May 2010 Posted: 15344 messages Followed by: 1864 members Upvotes: 13060 GMAT Score: 790 Top Reply BTGmoderatorDC wrote: Andrew bought pizzas for his swim team. Pepperoni pizzas cost$13 and combination pizzas cost $17 and he bought only pepperoni or combination pizzas. He spent a total of$184 on pizzas. How many pizzas did he buy?

(A) 12
(B) 13
(C) 14
(D) 15
(E) 16
13x + 17y = 184.

Multiples of 13:
13, 26, 39, 52, 65, 78, 91, 104...
Multiple of 17:
17, 34, 51, 68, 85, 102, 119....

The values in blue sum to 184.
Since 65/13 = 5 and 119/17 = 7, the number of pizzas = 5+7 = 12.

_________________
Mitch Hunt
Private Tutor for the GMAT and GRE
GMATGuruNY@gmail.com

If you find one of my posts helpful, please take a moment to click on the "UPVOTE" icon.

Available for tutoring in NYC and long-distance.
Student Review #1
Student Review #2
Student Review #3

Free GMAT Practice Test How can you improve your test score if you don't know your baseline score? Take a free online practice exam. Get started on achieving your dream score today! Sign up now.
• FREE GMAT Exam
Know how you'd score today for $0 Available with Beat the GMAT members only code • Free Veritas GMAT Class Experience Lesson 1 Live Free Available with Beat the GMAT members only code • Free Practice Test & Review How would you score if you took the GMAT Available with Beat the GMAT members only code • 5-Day Free Trial 5-day free, full-access trial TTP Quant Available with Beat the GMAT members only code • 5 Day FREE Trial Study Smarter, Not Harder Available with Beat the GMAT members only code • Free Trial & Practice Exam BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • Magoosh Study with Magoosh GMAT prep Available with Beat the GMAT members only code • Get 300+ Practice Questions 25 Video lessons and 6 Webinars for FREE Available with Beat the GMAT members only code • 1 Hour Free BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • Award-winning private GMAT tutoring Register now and save up to$200

Available with Beat the GMAT members only code

### Top First Responders*

1 Ian Stewart 57 first replies
2 Brent@GMATPrepNow 31 first replies
3 Jay@ManhattanReview 29 first replies
4 GMATGuruNY 20 first replies
5 ceilidh.erickson 15 first replies
* Only counts replies to topics started in last 30 days
See More Top Beat The GMAT Members

### Most Active Experts

1 Scott@TargetTestPrep

Target Test Prep

211 posts
2 Max@Math Revolution

Math Revolution

88 posts
3 Brent@GMATPrepNow

GMAT Prep Now Teacher

70 posts
4 Ian Stewart

GMATiX Teacher

65 posts
5 GMATGuruNY

The Princeton Review Teacher

39 posts
See More Top Beat The GMAT Experts