December 14, 2018 December 14, 2018 10:00 PM PST 11:00 PM PST Carolyn and Brett  nicely explained what is the typical day of a UCLA student. I am posting below recording of the webinar for those who could't attend this session. December 15, 2018 December 15, 2018 07:00 AM PST 09:00 AM PST Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.
Author 
Message 
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 51215

At Ivan’s petting zoo, visitors can pay to ride yaks and zebras. A yak
[#permalink]
Show Tags
14 Feb 2017, 00:39
Question Stats:
68% (02:13) correct 32% (02:16) wrong based on 59 sessions
HideShow timer Statistics



Senior Manager
Joined: 13 Oct 2016
Posts: 367
GPA: 3.98

Re: At Ivan’s petting zoo, visitors can pay to ride yaks and zebras. A yak
[#permalink]
Show Tags
14 Feb 2017, 01:21
Bunuel wrote: At Ivan’s petting zoo, visitors can pay to ride yaks and zebras. A yak ride costs $91, whereas a zebra ride costs just $28. In how many ways can a visitor spend at total of exactly $703 on yak and/or zebra rides at the petting zoo?
A. 0 B. 1 C. 2 D. 3 E. 4 Hi 91x + 28y = 703 7(13x + 4y) = 703 13x + 4y = 703/7 =/= an integer. We are adding two multiples if 7, so the resultant also must be a multiple of 7, but 703 is not divisible by 7. AnswerA (0)



Intern
Joined: 11 Jan 2016
Posts: 18
GPA: 2.34

Re: At Ivan’s petting zoo, visitors can pay to ride yaks and zebras. A yak
[#permalink]
Show Tags
14 Feb 2017, 03:50
since 703 is not divisible by 7, answer A Sent from my Mi 4i using GMAT Club Forum mobile app



Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4277
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)

Re: At Ivan’s petting zoo, visitors can pay to ride yaks and zebras. A yak
[#permalink]
Show Tags
14 Feb 2017, 09:49
Bunuel wrote: At Ivan’s petting zoo, visitors can pay to ride yaks and zebras. A yak ride costs $91, whereas a zebra ride costs just $28. In how many ways can a visitor spend at total of exactly $703 on yak and/or zebra rides at the petting zoo?
A. 0 B. 1 C. 2 D. 3 E. 4 91y + 28z = 703 If y = 1 , 28z = 612 ( Not divisible by 28 )If y = 2 , 28z = 521 ( Not divisible by 28 )If y = 3 , 28z = 430 ( Not divisible by 28 )If y = 4 , 28z = 339 ( Not divisible by 28 )If y = 5 , 28z = 248 ( Not divisible by 28 )If y = 6 , 28z = 157 ( Not divisible by 28 )If y = 7 , 28z = 66 ( Not divisible by 28 )Thus, answer will be (A) 0
_________________
Thanks and Regards
Abhishek....
PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS
How to use Search Function in GMAT Club  Rules for Posting in QA forum  Writing Mathematical Formulas Rules for Posting in VA forum  Request Expert's Reply ( VA Forum Only )



Target Test Prep Representative
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2830

Re: At Ivan’s petting zoo, visitors can pay to ride yaks and zebras. A yak
[#permalink]
Show Tags
15 Feb 2017, 15:17
Bunuel wrote: At Ivan’s petting zoo, visitors can pay to ride yaks and zebras. A yak ride costs $91, whereas a zebra ride costs just $28. In how many ways can a visitor spend at total of exactly $703 on yak and/or zebra rides at the petting zoo?
A. 0 B. 1 C. 2 D. 3 E. 4 If we let y = the number of yak rides and z = the number of zebra rides, we can create the following equation: 91y + 28z = 703 Factoring out a 7, we have: 7(13y + 4z) = 703 13y + 4z = 703/7 Since 13y + 4z MUST be an integer, and since 703/7 IS NOT an integer, there is no way that a visitor can ride a zebra and/or yak with exactly 703 dollars. Answer: A
_________________
Jeffery Miller
Head of GMAT Instruction
GMAT Quant SelfStudy Course
500+ lessons 3000+ practice problems 800+ HD solutions



eGMAT Representative
Joined: 04 Jan 2015
Posts: 2306

Re: At Ivan’s petting zoo, visitors can pay to ride yaks and zebras. A yak
[#permalink]
Show Tags
15 Feb 2017, 22:25
Bunuel wrote: At Ivan’s petting zoo, visitors can pay to ride yaks and zebras. A yak ride costs $91, whereas a zebra ride costs just $28. In how many ways can a visitor spend at total of exactly $703 on yak and/or zebra rides at the petting zoo?
A. 0 B. 1 C. 2 D. 3 E. 4 • The cost to ride a yak = $\(91\) • The cost to ride a zebra = $\(28\) • Total amount we can spend = $\(703\) • Therefore we can write the equation as  • \(91y + 28z = 703\)
• Where y is the number of times one rides a yak • and z is the number of times one rides a zebra. • \(28z\) is always even, and \(91y\) + Even = Odd, therefore, we can conclude that y will be odd.
• Therefore, \(y\) can take the value \(1,3,5\) and \(7\)
• If we plug in these values in the equation \(91y + 28z = 703\) we will find that none of the above 4 values gives us an integer value of z.
• Hence there are \(0\) ways. Correct Answer is Option AThanks, Saquib Quant Expert eGMATRegister for our Free Session on Number Properties (held every 3rd week) to solve exciting 700+ Level Questions in a classroom environment under the realtime guidance of our Experts
_________________
Register for free sessions Number Properties  Algebra Quant Workshop
Success Stories Guillermo's Success Story  Carrie's Success Story
Ace GMAT quant Articles and Question to reach Q51  Question of the week
Must Read Articles Number Properties – Even Odd  LCM GCD  Statistics1  Statistics2  Remainders1  Remainders2 Word Problems – Percentage 1  Percentage 2  Time and Work 1  Time and Work 2  Time, Speed and Distance 1  Time, Speed and Distance 2 Advanced Topics Permutation and Combination 1  Permutation and Combination 2  Permutation and Combination 3  Probability Geometry Triangles 1  Triangles 2  Triangles 3  Common Mistakes in Geometry Algebra Wavy line  Inequalities Practice Questions Number Properties 1  Number Properties 2  Algebra 1  Geometry  Prime Numbers  Absolute value equations  Sets
 '4 out of Top 5' Instructors on gmatclub  70 point improvement guarantee  www.egmat.com




Re: At Ivan’s petting zoo, visitors can pay to ride yaks and zebras. A yak &nbs
[#permalink]
15 Feb 2017, 22:25






