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23 Mar 2011, 07:24
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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, 02:58, edited 2 times in total. Renamed the topic and edited the question. Math Forum Moderator Joined: 20 Dec 2010 Posts: 2013 Followers: 163 Kudos [?]: 1827 [2] , given: 376 Re: Last year, if Arturo spent a total of$12,000 on his mortgage payments [#permalink]

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23 Mar 2011, 07:39
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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: 755 Followers: 14 Kudos [?]: 125 [0], given: 42 Re: Last year, if Arturo spent a total of$12,000 on his mortgage payments [#permalink]

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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.

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23 Mar 2011, 20:57
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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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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.
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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 _________________ 760+: Learn What GMAT Assassins Do to Score at the Highest Levels Contact Rich at: Rich.C@empowergmat.com # Rich Cohen Co-Founder & GMAT Assassin # Special Offer: Save$75 + GMAT Club Tests

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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
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