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# Last year, if Arturo spent a total of $12,000 on his mortgage payments  Question banks Downloads My Bookmarks Reviews Important topics Author Message TAGS: Manager Joined: 07 Jan 2010 Posts: 147 Location: So. CA WE 1: 2 IT WE 2: 4 Software Analyst Followers: 2 Kudos [?]: 30 [0], given: 57 Last year, if Arturo spent a total of$12,000 on his mortgage payments [#permalink]  23 Mar 2011, 06:24
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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, 01:58, edited 2 times in total. Renamed the topic and edited the question.  Kaplan Promo Code Knewton GMAT Discount Codes Manhattan GMAT Discount Codes Math Forum Moderator Joined: 20 Dec 2010 Posts: 2027 Followers: 142 Kudos [?]: 1221 [1] , given: 376 Re: Last year, if Arturo spent a total of$12,000 on his mortgage payments [#permalink]  23 Mar 2011, 06:39
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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: 759 Followers: 14 Kudos [?]: 75 [0], given: 42 Re: Last year, if Arturo spent a total of$12,000 on his mortgage payments [#permalink]  23 Mar 2011, 16:33
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
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Kudos [?]: 30 [0], given: 57

Re: Last year, if Arturo spent a total of $12,000 on his mortgage payments [#permalink] 23 Mar 2011, 18:34 Spidy001 wrote: M+R+I = 12000 2. Sufficient to find R. Answer is B. can you show me your way of solving it? SVP Joined: 16 Nov 2010 Posts: 1676 Location: United States (IN) Concentration: Strategy, Technology Followers: 31 Kudos [?]: 374 [1] , given: 36 Re: Last year, if Arturo spent a total of$12,000 on his mortgage payments [#permalink]  23 Mar 2011, 19:57
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
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Manager
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Re: Last year, if Arturo spent a total of $12,000 on his mortgage payments [#permalink] 08 Nov 2011, 11:59 1 This post received KUDOS given : r+m+h = 12,000 What is r? (1) $$r+h = 1/3 m$$ substituting in the given equation gives: m + m/3 = 12000. We can only solve for m but can go no further. Insufficient (2) $$r= 20/100 (m+h)$$ 5r = m+h. substituting in the given equation 5r + r = 12000 r = 2000. Sufficient. Answer: A Senior Manager Joined: 13 May 2011 Posts: 319 WE 1: IT 1 Yr WE 2: Supply Chain 5 Yrs Followers: 19 Kudos [?]: 165 [0], given: 11 Re: Last year, if Arturo spent a total of$12,000 on his mortgage payments [#permalink]  05 Dec 2011, 21:16
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.
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Re: Last year, if Arturo spent a total of $12,000 on his mortgage payments [#permalink] 01 Mar 2015, 11:33 Hello from the GMAT Club BumpBot! Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos). Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email. _________________ EMPOWERgmat Instructor Status: GMAT Assassin/Co-Founder Affiliations: EMPOWERgmat Joined: 19 Dec 2014 Posts: 3517 Location: United States (CA) GMAT 1: 800 Q51 V49 GRE 1: 340 Q170 V170 Followers: 151 Kudos [?]: 947 [0], given: 57 Re: Last year, if Arturo spent a total of$12,000 on his mortgage payments [#permalink]  01 Mar 2015, 14:51
Expert's post
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 _________________ Math Expert Joined: 02 Sep 2009 Posts: 29217 Followers: 4756 Kudos [?]: 50427 [0], given: 7546 Re: Last year, if Arturo spent a total of$12,000 on his mortgage payments [#permalink]  02 Mar 2015, 01:58
Expert's post
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.

OPEN DISCUSSION OF THIS QUESTION IS HERE: last-year-if-arturo-spent-a-total-of-12-000-on-his-mortgage-143767.html
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Re: Last year, if Arturo spent a total of $12,000 on his mortgage payments [#permalink] 02 Mar 2015, 01:58 Similar topics Replies Last post Similar Topics: 4 In year X a total of 355 billion dollars was spent for health care in 5 17 Dec 2014, 06:53 2 Steve spent a total of$36 on transportation for 3 days. What was his 1 09 Sep 2014, 22:05
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# Last year, if Arturo spent a total of \$12,000 on his mortgage payments

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