GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 14 Nov 2018, 09:49

# Join Chat Room for Live Updates

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

## Events & Promotions

###### Events & Promotions in November
PrevNext
SuMoTuWeThFrSa
28293031123
45678910
11121314151617
18192021222324
2526272829301
Open Detailed Calendar
• ### $450 Tuition Credit & Official CAT Packs FREE November 15, 2018 November 15, 2018 10:00 PM MST 11:00 PM MST EMPOWERgmat is giving away the complete Official GMAT Exam Pack collection worth$100 with the 3 Month Pack ($299) • ### Free GMAT Strategy Webinar November 17, 2018 November 17, 2018 07:00 AM PST 09:00 AM PST Nov. 17, 7 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. # Susan spent one-third of her money on books and half of the remaining  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics Author Message TAGS: ### Hide Tags Math Expert Joined: 02 Sep 2009 Posts: 50583 Susan spent one-third of her money on books and half of the remaining [#permalink] ### Show Tags 29 Oct 2018, 06:11 00:00 Difficulty: 15% (low) Question Stats: 91% (01:27) correct 9% (02:40) wrong based on 46 sessions ### HideShow timer Statistics Susan spent one-third of her money on books and half of the remaining money on clothing. She then spent three-fourths of what she had left on food. She had$5 left over. How much money did she start with?

A. $60 B.$80
C. $120 D.$160
E. $180 _________________ Board of Directors Status: QA & VA Forum Moderator Joined: 11 Jun 2011 Posts: 4207 Location: India GPA: 3.5 WE: Business Development (Commercial Banking) Re: Susan spent one-third of her money on books and half of the remaining [#permalink] ### Show Tags 29 Oct 2018, 07:29 1 Bunuel wrote: Susan spent one-third of her money on books and half of the remaining money on clothing. She then spent three-fourths of what she had left on food. She had$5 left over. How much money did she start with?

A. $60 B.$80
C. $120 D.$160
E. $180 Let the amount of money she had be 12x Amount spent on books = 4x Amount spent on clothing = 4x Amount spent on food = 3x Amount left = x =$5

So, the total amount of money she had is $60, Answer must be (A) _________________ 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 ) e-GMAT Representative Joined: 04 Jan 2015 Posts: 2191 Re: Susan spent one-third of her money on books and half of the remaining [#permalink] ### Show Tags 30 Oct 2018, 02:28 Solution Given: • Susan spent o $$\frac{1}{3}^{rd}$$ of her money on books, o $$\frac{1}{3}^{rd}$$on clothing o $$\frac{1}{4}^{th}$$ on food • She had$5 left over

To find:
• The total money she had at the beginning

Approach and Working:
• Let the initial amount be $X • Left over money = $$(1 - \frac{1}{3} - \frac{1}{3} - \frac{1}{4}) * X = 5$$ o Implies, X =$5 * 12 = $60 Hence, the correct answer is Option A Answer: A _________________ 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 | Statistics-1 | Statistics-2 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.e-gmat.com Target Test Prep Representative Status: Founder & CEO Affiliations: Target Test Prep Joined: 14 Oct 2015 Posts: 4170 Location: United States (CA) Re: Susan spent one-third of her money on books and half of the remaining [#permalink] ### Show Tags 30 Oct 2018, 18:11 1 Bunuel wrote: Susan spent one-third of her money on books and half of the remaining money on clothing. She then spent three-fourths of what she had left on food. She had$5 left over. How much money did she start with?

A. $60 B.$80
C. $120 D.$160
E. $180 We can let the total amount of money Susan had = n. So she spent n/3 on books, (1/2)(n - n/3) = (1/2)(2n/3) = n/3 on clothing and (3/4)(n - n/3 - n/3) = (3/4)(n/3) = n/4 on food. We can create the equation: n/3 + n/3 + n/4 + 5 = n Multiplying the equation by 12, we have: 4n + 4n + 3n + 60 = 12n 11n + 60 = 12n 60 = n So she had$60 before she spent it on books, clothing and food.

_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Re: Susan spent one-third of her money on books and half of the remaining &nbs [#permalink] 30 Oct 2018, 18:11
Display posts from previous: Sort by