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In the table above, what is the number of green marbles in J
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01 Oct 2012, 05:11
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In the table above, what is the number of green marbles in Jar R ? (A) 70 (B) 80 (C) 90 (D) 100 (E) 110 Practice Questions Question: 55 Page: 159 Difficulty: 600 Attachment:
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Re: In the table above, what is the number of green marbles in J
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01 Oct 2012, 05:11
SOLUTIONIn the table above, what is the number of green marbles in Jar R ?(A) 70 (B) 80 (C) 90 (D) 100 (E) 110 We need to find the value of \(z\), while given that: \(x+y=80\); \(y+z=120\); \(x+z=160\). Sum these 3 equations: \(2x+2y+2z=360\) > reduce by 2: \(x+y+z=180\) > since we know that \(x+y=80\), then \(80+z=180\) > \(z=100\). Answer: D.
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Re: In the table above, what is the number of green marbles in J
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01 Oct 2012, 05:19
To solve, I took the sum of the expressions as seen below: X + Y = 80 Y + Z = 120 X + Z = 1602X + 2Y + 2Z = 360 Dividing by 2 we get X + Y + Z = 180. Since we know X + Y = 80 from Jar P, we can deduce that Z = 100. Since Z is the number of green marbles in Jar R we have our solution.
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Re: In the table above, what is the number of green marbles in J
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01 Oct 2012, 20:22
x+y = 80 (1) x+z = 160(2) z+y= 120(3) Subtract equation 1 from 2 & we get> zy = 80(4) Add equation (4) & (3) we get> 2z= 200 z=100 Answer D
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Re: In the table above, what is the number of green marbles in J
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04 Oct 2012, 00:41
x + y = 80 ......(1) y + z = 120 .....(2) x + z = 160 ......(3)
From (2) above, z=160y .....Substitute value of z in (3)
==> xy = 40 ....(4)
Solve (1) and (4), to get x = 60 ==> y = 20 ==> z = 100
Thus, number of green marbles in Jar R = 100 (Ans = D)



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Re: In the table above, what is the number of green marbles in J
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04 Oct 2012, 14:20
SOLUTIONIn the table above, what is the number of green marbles in Jar R ?(A) 70 (B) 80 (C) 90 (D) 100 (E) 110 We need to find the value of \(z\), while given that: \(x+y=80\); \(y+z=120\); \(x+z=160\). Sum these 3 equations: \(2x+2y+2z=360\) > reduce by 2: \(x+y+z=180\) > since we know that \(x+y=80\), then \(80+z=180\) > \(z=100\). Answer: D. Kudos points given to everyone with correct solution. Let me know if I missed someone.
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Re: In the table above, what is the number of green marbles in J
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10 Dec 2012, 04:43
\(x + y = 80\) eq 1 \(y + z = 120\) eq 2 \(x + z = 160\) eq 3 ______________ \(2x + 2y + 2z = 360 > x + y+ z = 180\) eq 4 Combine eq 4 and eq 1: \(80 + z = 180 > z = 100\) Answer: D
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Re: In the table above, what is the number of green marbles in J
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13 Apr 2014, 08:52
Bunuel wrote: SOLUTIONIn the table above, what is the number of green marbles in Jar R ?(A) 70 (B) 80 (C) 90 (D) 100 (E) 110 We need to find the value of \(z\), while given that: \(x+y=80\); \(y+z=120\); \(x+z=160\). Sum these 3 equations: \(2x+2y+2z=360\) > reduce by 2: \(x+y+z=180\) > since we know that \(x+y=80\), then \(80+z=180\) > \(z=100\). Answer: D. Kudos points given to everyone with correct solution. Let me know if I missed someone. Are we always allowed to sum the 3 equations? Do we need to have some commonalities to be able to sum the equations?



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Re: In the table above, what is the number of green marbles in J
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13 Apr 2014, 21:16
X+Y =80  (1)
Y+Z =120  (2)
X+Z =160  (3)
Subtract (3) (1)
we get
Z  Y = 80 (4)
ADD (4) and (2) equations, Z=100;
Hence D.



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Re: In the table above, what is the number of green marbles in J
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14 Apr 2014, 01:30
russ9 wrote: Bunuel wrote: SOLUTIONIn the table above, what is the number of green marbles in Jar R ?(A) 70 (B) 80 (C) 90 (D) 100 (E) 110 We need to find the value of \(z\), while given that: \(x+y=80\); \(y+z=120\); \(x+z=160\). Sum these 3 equations: \(2x+2y+2z=360\) > reduce by 2: \(x+y+z=180\) > since we know that \(x+y=80\), then \(80+z=180\) > \(z=100\). Answer: D. Kudos points given to everyone with correct solution. Let me know if I missed someone. Are we always allowed to sum the 3 equations? Do we need to have some commonalities to be able to sum the equations? Yes, we can sum/subtract/multiply equations. I think you are mixing equations with inequalities, for which there are specific rules. Adding/subtracting/multiplying/dividing inequalities: helpwithaddsubtractmultdividmultipleinequalities155290.htmlHope this helps.
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Re: In the table above, what is the number of green marbles in J
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28 Apr 2014, 21:27
Bunuel wrote: russ9 wrote: Bunuel wrote: SOLUTIONIn the table above, what is the number of green marbles in Jar R ?(A) 70 (B) 80 (C) 90 (D) 100 (E) 110 We need to find the value of \(z\), while given that: \(x+y=80\); \(y+z=120\); \(x+z=160\). Sum these 3 equations: \(2x+2y+2z=360\) > reduce by 2: \(x+y+z=180\) > since we know that \(x+y=80\), then \(80+z=180\) > \(z=100\). Answer: D. Kudos points given to everyone with correct solution. Let me know if I missed someone. Are we always allowed to sum the 3 equations? Do we need to have some commonalities to be able to sum the equations? Yes, we can sum/subtract/multiply equations. I think you are mixing equations with inequalities, for which there are specific rules. Adding/subtracting/multiplying/dividing inequalities: helpwithaddsubtractmultdividmultipleinequalities155290.htmlHope this helps. Thanks for clarifying. Just to confirm one of your comments above  "Yes, we can sum/subtract/multiply equations."  would this be valid for the problem even if one of the equations didn't have any common variables. What I mean is, if the equations read: \(x+y=80\); \(a+b=120\);\(x+z=160\). Can we still add the 3?



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Re: In the table above, what is the number of green marbles in J
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29 Apr 2014, 00:58
russ9 wrote: Bunuel wrote: russ9 wrote: Are we always allowed to sum the 3 equations? Do we need to have some commonalities to be able to sum the equations? Yes, we can sum/subtract/multiply equations. I think you are mixing equations with inequalities, for which there are specific rules. Adding/subtracting/multiplying/dividing inequalities: helpwithaddsubtractmultdividmultipleinequalities155290.htmlHope this helps. Thanks for clarifying. Just to confirm one of your comments above  "Yes, we can sum/subtract/multiply equations."  would this be valid for the problem even if one of the equations didn't have any common variables. What I mean is, if the equations read: \(x+y=80\); \(a+b=120\);\(x+z=160\). Can we still add the 3? _______________________ Yes.
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Re: In the table above, what is the number of green marbles in J
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09 Sep 2014, 22:05
The table provided in this question was a boon for me. See how below..... Attachment:
Table.png [ 45.65 KiB  Viewed 13269 times ]
1. Replaced y with (80x). The equation remains intact on "Jar P" row 2. Copied (80x) in "Jar Q" row. These 2 steps directly eliminates x & y3. Adding rows "Jar Q" & "Jar R" 2z+80 = 280 z = 100 Answer = D
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Re: In the table above, what is the number of green marbles in J
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21 Nov 2014, 03:28
From the given table we could make equations like Equation 1. Given x+y=80 > x=80y Equation2. Given y+z=120 Equation3. Given x+z = 160 Substituting the value of x in Equation 3 from Equation 1 Equation 4. (80y)+z=160 > y+z = 80 Adding Equation 2 and Equation 4 2z=200 > Z=100.



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Re: In the table above, what is the number of green marbles in J
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22 Jul 2015, 09:52
just substract from the first equation the 2nd and the 3rd you'll get > x+yyzxz = 200 >x,y cancel out and Z=100 (D)
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In the table above, what is the number of green marbles in J
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30 May 2016, 05:32
Bunuel wrote: In the table above, what is the number of green marbles in Jar R ? (A) 70 (B) 80 (C) 90 (D) 100 (E) 110 We can create three equations from the information presented in the table. Equation 1: x + y = 80 Equation 2: y + z = 120 Equation 3: x + z = 160 These equations present us with a good opportunity to use the “combination method” to solve multiple equations. Here, we can add equations together. Because we need the number of green marbles in jar R, we need to determine the value of z. We can start by multiplying equation 1 by 1. 1(x + y = 80) = x – y = 80 Next, we add this equation to equation 2. So we have: x  y = 80 + (z + y = 120) = z – x = 40 Now we can add z – x = 40 to equation 3. So we have: –x + z = 40 + (x + z = 160) 2z = 200 z = 100 Answer D.
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Re: In the table above, what is the number of green marbles in J
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30 May 2016, 06:03
Bunuel wrote: In the table above, what is the number of green marbles in Jar R ? (A) 70 (B) 80 (C) 90 (D) 100 (E) 110 Practice Questions Question: 55 Page: 159 Difficulty: 600 Simply add the three given details x+y=80 y+z=120 x+z=160 2(x+y+z) = 360 x+y+z = 180 Now We want green marbles in Jar R. That is we want z. x+y+z=180 x+y= 80; this means z = 100 Option D is the answer.



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Re: In the table above, what is the number of green marbles in J
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22 Feb 2018, 13:38
Hi All, Complex"looking" prompts can often hide hidden patterns that will help you to reduce the amount of work you need to do to answer the question. The question asks us for the number of green marbles in Jar R, so we're asked "what is the value of Z?" In the table, you might notice that each variable shows up EXACTLY TWICE, so if we add all of the equations together, we have… 2X + 2Y + 2Z = 360 So… X + Y + Z = 180 Notice in Jar P….X + Y = 80 Combining these two equations gives us the value of Z…..100 Final Answer: GMAT assassins aren't born, they're made, Rich
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Re: In the table above, what is the number of green marbles in J
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15 Sep 2019, 06:26
Bunuel wrote: In the table above, what is the number of green marbles in Jar R ? (A) 70 (B) 80 (C) 90 (D) 100 (E) 110 Practice Questions Question: 55 Page: 159 Difficulty: 600 Adding 3 equations x+y+z=180 x+y=80 z=100 IMO D Posted from my mobile device
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Re: In the table above, what is the number of green marbles in J
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