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Sub 505 Level|   Word Problems|                     
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Bunuel
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hree roommates—Bela, Gyorgy, and Janos—together saved money for a trip. The amount that Bela saved was equal to 8% of his monthly income. The amount that Gyorgy saved was exactly 1/3 of the total amount saved by all 3 roommates. What was the total amount saved for the trip by all 3 roommates?

(1) Bela had a monthly income of $2,000.
So, Bela saved 8% of 2000 or 160.
Nothing about others..
Insuff

(2) Janos saved 1.5 times as much for the trip as Bela.
G saved x out of 3x. So, if bela saves b, Janos saves 1.5b..
Thus, 2.5b=2x.
No values known.. Insuff

Combined..
b=160, so 1.5b=1.5*160=240...
Thus, 2x=240 or x=120. Since total is 3x, answer is 3*120=360.

C
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Bunuel
Three roommates—Bela, Gyorgy, and Janos—together saved money for a trip. The amount that Bela saved was equal to 8% of his monthly income. The amount that Gyorgy saved was exactly 1/3 of the total amount saved by all 3 roommates. What was the total amount saved for the trip by all 3 roommates?

(1) Bela had a monthly income of $2,000.
(2) Janos saved 1.5 times as much for the trip as Bela.


DS72951.01
OG2020 NEW QUESTION


g=1/3*(160+g+j)
2g=160+j
g=8% of monthly income
find g+b+j
#1
2000*.08 = 160
not sufficient as other details not given

#2
j=1.5*b
not sufficient
from 1&2
we can say
j= 1.5*160 ; 240
so 2g= 160+240
g= 200
j = 160
total 400+160 ; 560
IMO C
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We want to have count info from the question term, so each of statement should provide count info:
+St1: we know only 1 count info, still missing J & G -->NS
+St2: no count info-->NS
St1 + St2: we now have count info, let's plug all to the equation: B+G+J and Gyorgy saved was exactly 1/3 of the total amount saved by all 3 roommates.
-->We can finally answer the question.
My choice is C
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Bunuel
Three roommates—Bela, Gyorgy, and Janos—together saved money for a trip. The amount that Bela saved was equal to 8% of his monthly income. The amount that Gyorgy saved was exactly 1/3 of the total amount saved by all 3 roommates. What was the total amount saved for the trip by all 3 roommates?

(1) Bela had a monthly income of $2,000.
(2) Janos saved 1.5 times as much for the trip as Bela.


DS72951.01
OG2020 NEW QUESTION
Solution:

Question Stem Analysis:

We need to determine the total amount saved for the trip by all 3 roommates.

Statement One Alone:

Since Bela saved 8% of his monthly income for the trip, he saved 2,000 x 0.08 = $160 for the trip. However, since we don’t know the amounts saved by Gyorgy and Janos, we can’t determine the total amount saved for the trip by all 3 roommates. Statement one alone is not sufficient.

Statement Two Alone:

Even though we know Janos saved 1.5 times as much for the trip as Bela, we don’t know the actual amount saved by any one of the 3 roommates. Statement two alone is not sufficient.

Statement One and Two Together:

From the two statements, we know Bela saved $160 and Janos saved 160 x 1.5 = $240 for the trip. From the question stem, we also know that Gyorgy saved 1/3 of the total saved by all 3 roommates. If we let T be the total amount saved by all 3 roommates, we can create the equation:

160 + 240 + T/3 = T

400 = 2T/3

T = 400 x 3/2 = 600

We see that the total amount saved by all 3 roommates was $600. Both statements together are sufficient.

Answer: C
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Bunuel
Three roommates—Bela, Gyorgy, and Janos—together saved money for a trip. The amount that Bela saved was equal to 8% of his monthly income. The amount that Gyorgy saved was exactly 1/3 of the total amount saved by all 3 roommates. What was the total amount saved for the trip by all 3 roommates?

(1) Bela had a monthly income of $2,000.
(2) Janos saved 1.5 times as much for the trip as Bela.

Answer: Option C

Video solution by GMATinsight

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Video solution from Quant Reasoning:
Subscribe for more: https://www.youtube.com/QuantReasoning? ... irmation=1
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Let's write the amount saved by the three as B + G + J = Total saved.

We know that the amount that Bela saved was equal to 8% of his monthly income but we can't quantify that so it doesn't help.
We also know that the amount that Gyorgy saved was exactly 1/3 of the total amount saved by all 3 roommates, so this gives us the following equation:

G = (1/3)*(B + G + J)

We have 3 unknowns.

(1) Bela had a monthly income of $2,000.
With this, we can quantify B, but it's still insufficient to calculate the rest because we still don't know G or J.

(2) Janos saved 1.5 times as much for the trip as Bela.
With this, we could express J in terms of B (J = 1.5 * B) and replace that in the equation, but it's still insufficient to calculate the rest because we still don't know G or B.

With both statements, because we can quantify B with statement 1 and express J in terms of B with statement 2, we can also quantify J. Then we can find G in the equation. We have found the amount that each saved for the trip.

Answer C
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