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Last year, if Arturo spent a total of $12,000 on his

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Last year, if Arturo spent a total of $12,000 on his [#permalink] New post 23 Mar 2011, 06:24
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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
[Reveal] Spoiler: OA

Last edited by gtr022001 on 23 Mar 2011, 18:32, edited 1 time in total.
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Re: og12: Arturo spent a total of $12,000 [#permalink] New post 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"
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Re: og12: Arturo spent a total of $12,000 [#permalink] New post 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.

Answer is B.
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Re: og12: Arturo spent a total of $12,000 [#permalink] New post 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? :-D
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Re: og12: Arturo spent a total of $12,000 [#permalink] New post 23 Mar 2011, 19:57
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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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Re: og12: Arturo spent a total of $12,000 [#permalink] New post 08 Nov 2011, 11:59
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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
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Re: Last year, if Arturo spent a total of $12,000 on his [#permalink] New post 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.
Re: Last year, if Arturo spent a total of $12,000 on his   [#permalink] 05 Dec 2011, 21:16
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