Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 25 Aug 2016, 18:44

### 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 June
Open Detailed Calendar

### Show Tags

23 Mar 2011, 07:24
1
This post was
BOOKMARKED
00:00

Difficulty:

35% (medium)

Question Stats:

62% (02:20) correct 38% (01:07) wrong based on 162 sessions

### HideShow timer Statistics

Last year, if Arturo spent a total of $12,000 on his mortgage payments, real estate taxes, and home insurance, how much did he spend on his real estate taxes? (1) Last year, the total amount that Arturo spent on his real estate taxes and home insurance was 33 1/3 percent of the amount that he spent on his mortgage payments. (2) Last year, the amount that Arturo spent on his real estate taxes was 20 percent of the total amount he spent on his mortgage payments and home insurance. OPEN DISCUSSION OF THIS QUESTION IS HERE: last-year-if-arturo-spent-a-total-of-12-000-on-his-mortgage-143767.html [Reveal] Spoiler: OA Last edited by Bunuel on 02 Mar 2015, 02:58, edited 2 times in total. Renamed the topic and edited the question. Math Forum Moderator Joined: 20 Dec 2010 Posts: 2021 Followers: 157 Kudos [?]: 1558 [2] , given: 376 Re: Last year, if Arturo spent a total of$12,000 on his mortgage payments [#permalink]

### Show Tags

23 Mar 2011, 07:39
2
KUDOS
gtr022001 wrote:
88. Last year, if Arturo spent a total of $12,000 on his mortgage payments, real estate taxes, and home insurance, how much did he spend on his real estate taxes? 1) Last year, the total amount that Arturo spent on his real estate taxes and home insurance was 33 percent of the amount that he spent on his mortgage payments. (2) Last year, the amount that Arturo spent on his real estate taxes was 20 percent of the total amount he spent on mortgage payments and home insurance. i'll add OA later Let we denote the spending by M,R and I M+R+I=12000 R=? 1. R+I=0.33M R= 0.33M-I M+R+I=12000 We just have two equations and 3 variables. Also, we can't get rid of any variable from the given conditions. Not Sufficient. 2. R=0.2(M+I) M+I = R/0.2 M+R+I=12000 R+5R=12000 6R=12000 R=2000 Sufficient. Ans: "B" _________________ Director Joined: 01 Feb 2011 Posts: 757 Followers: 14 Kudos [?]: 100 [0], given: 42 Re: Last year, if Arturo spent a total of$12,000 on his mortgage payments [#permalink]

### Show Tags

23 Mar 2011, 17:33
M+R+I = 12000

1. Not sufficient to find R( we dont know the I to find R)
2. Sufficient to find R.

Manager
Joined: 07 Jan 2010
Posts: 147
Location: So. CA
WE 1: 2 IT
WE 2: 4 Software Analyst
Followers: 2

Kudos [?]: 52 [0], given: 57

### Show Tags

23 Mar 2011, 20:57
1
KUDOS
R + H + M = 12000

From (1)

R + H = 0.33M

(1) is not sufficient

From (2)

R = 0.2(M + H), so this can be susbtituted in the given equation and hence the answer is B
_________________

Formula of Life -> Achievement/Potential = k * Happiness (where k is a constant)

GMAT Club Premium Membership - big benefits and savings

Manager
Joined: 05 Oct 2011
Posts: 171
Followers: 9

Kudos [?]: 46 [1] , given: 62

### Show Tags

05 Dec 2011, 22:16
T+M+I=12K

Statement 2: T= .2(M+I)= .2(12k-T) can be solved for T. sufficient.
Statement 1: T+I=.33M using stem, we can solve for M, but we still have 2 variable to solve. Not Sufficient.
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 11062
Followers: 511

Kudos [?]: 134 [0], given: 0

### Show Tags

01 Mar 2015, 15:51
Hi All,

This question is a measure of your Algebra skills and whether you recognize when you have enough "comparison" information to answer a given question or not.

We're told that $12,000 was spent (in total) on mortgage payments, real estate taxes and home insurance. We're asked for the total spent on real estate taxes. First, let's set up an equation: M = money spent on mortgage payments R = money spent on real estate taxes H = money spent on home insurance M + R + H = 12,000 We are asked for the value of R. Fact 1: The amounts spend on real estate and home insurance are 33% of what was spent on mortgage payments. From this information, we can create 1 equation: R + H = .33(M) From this, we can solve for M by substituting in the value of (R+H).... M + (.33M) = 12,0000 1.33M = 12,000 HOWEVER, we CANNOT get the value of R from this. Fact 1 is INSUFFICIENT Fact 2: The amount spent on real estate is 20% of the total spent on mortgage payments and home insurance. Here, we can also create 1 equation: R = .2(M + H) 5R = (M+H) We can now substitute in the value of (M+H) R + 5R = 12,000 6R = 12,0000 R = 2,000, so we have answered the question. Fact 2 is SUFFICIENT. Final Answer: [Reveal] Spoiler: B GMAT assassins aren't born, they're made, Rich _________________ # Rich Cohen Co-Founder & GMAT Assassin # Special Offer: Save$75 + GMAT Club Tests

60-point improvement guarantee
www.empowergmat.com/

***********************Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!***********************

Math Expert
Joined: 02 Sep 2009
Posts: 34438
Followers: 6261

Kudos [?]: 79500 [0], given: 10018

Re: Last year, if Arturo spent a total of $12,000 on his mortgage payments [#permalink] ### Show Tags 02 Mar 2015, 02:58 gtr022001 wrote: Last year, if Arturo spent a total of$12,000 on his mortgage payments, real estate taxes, and home insurance, how much did he spend on his real estate taxes?

(1) Last year, the total amount that Arturo spent on his real estate taxes and home insurance was 33 1/3 percent of the amount that he spent on his mortgage payments.

(2) Last year, the amount that Arturo spent on his real estate taxes was 20 percent of the total amount he spent on his mortgage payments and home insurance.

Last year, if Arturo spent a total of $12,000 on his mortgage payments, real estate taxes, and home insurance, how much did he spend on his real estate taxes? Let M, R, and H be the amounts that Arturo spent on mortgage payments, real estate taxes, and home insurance, respectively. Given: M + R + H = 12,000. Question: R?? (1) Last year, the total amount that Arturo spent on his real estate taxes and home insurance was 33 1/3 percent of the amount that he spent on his mortgage payments --> 33 1/3 percent is 1/3 rd, thus given that R + H = M/3 --> M + R + H = M + M/3 = 12,000 --> M = 9,000 --> R + H = 12,000 - 9,000 = 3,000. R can take more than one value. Not sufficient. (2) Last year, the amount that Arturo spent on his real estate taxes was 20 percent of the total amount he spent on his mortgage payments and home insurance --> given that R = (M + H)/5 --> 5R = M + H --> M + R + H = 5R + R = 12,000 --> 6R = 12,000 --> R = 2,000. Sufficient. Answer: B. OPEN DISCUSSION OF THIS QUESTION IS HERE: last-year-if-arturo-spent-a-total-of-12-000-on-his-mortgage-143767.html _________________ Re: Last year, if Arturo spent a total of$12,000 on his mortgage payments   [#permalink] 02 Mar 2015, 02:58
Similar topics Replies Last post
Similar
Topics:
Last year Charles spent $24,000 total on rare coins, stamps, and books 5 29 Feb 2016, 11:02 4 In year X a total of 355 billion dollars was spent for health care in 5 17 Dec 2014, 07:53 8 Steve spent a total of$36 on transportation for 3 days. What was his 2 09 Sep 2014, 23:05
7 Last year, if Elena spent a total of $720 on newspapers, mag 6 13 Jan 2014, 01:54 9 Last year if Arturo spent a total of$12,000 on his mortgage 4 07 Dec 2012, 07:54
Display posts from previous: Sort by