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In the table above, what is the number of green marbles in J [#permalink]
 01 Oct 2012, 05:11
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The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions ProjectAttachment: 
Table.png [ 40.01 KiB | Viewed 1094 times ]
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
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Re: In the table above, what is the number of green marbles in J [#permalink]
01 Oct 2012, 05:11
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Re: In the table above, what is the number of green marbles in J [#permalink]
01 Oct 2012, 05:19
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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 [#permalink]
01 Oct 2012, 20:22
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x+y = 80 ---(1) x+z = 160---(2) z+y= 120---(3) Subtract equation 1 from 2 & we get--> z-y = 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 [#permalink]
04 Oct 2012, 00:41
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x + y = 80 ......(1)
y + z = 120 .....(2)
x + z = 160 ......(3)
From (2) above, z=160-y .....Substitute value of z in (3)
==> x-y = 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 [#permalink]
04 Oct 2012, 14:20
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Re: In the table above, what is the number of green marbles in J [#permalink]
05 Oct 2012, 03:19
x+y=80...(1)
y+z=120 ==> z=120-y
x+z=160 ==> z=120-x...(3)
120-x=160-y
==> x-y=40...(2)
sloving (1) & (2) we get x=60
put value of x=60 in eqn (3),
60+z=160
=> z=100 Ans
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Re: In the table above, what is the number of green marbles in J [#permalink]
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
[#permalink]
10 Dec 2012, 04:43
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