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19 Aug 2015, 01:11
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71% (02:30) correct
29%
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The sum of the wages earned by Rachel, Robin and Richard in a week is $2600. It is also known that 4 times Rachel's wage is equal to 6 times Robin's wage and 8 times Richard's wage. How much is Rachel's wage more than that of Robin?
A. $300
B. $400
C. $600
D. $800
E. $1200
Kudos for a correct solution.
A. $300
B. $400
C. $600
D. $800
E. $1200
Kudos for a correct solution.
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19 Aug 2015, 03:56
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Bunuel
The sum of the wages earned by Rachel, Robin and Richard in a week is $2600. It is also known that 4 times Rachel's wage is equal to 6 times Robin's wage and 8 times Richard's wage. How much is Rachel's wage more than that of Robin?
A. $300
B. $400
C. $600
D. $800
E. $1200
Kudos for a correct solution.
A. $300
B. $400
C. $600
D. $800
E. $1200
Kudos for a correct solution.
Rachel=\(R_1\)
Robin=\(R_2\)
Richard = \(R_3\)
Let T = total of the above 3.
Given, \(4*R_1 = 6*R_2=8*R_3\) ----> T/4 + T/6+T/8 = 2600 --->13T/24=2600---> T=4800
Thus, \(R_1\) - \(R_2\) = T/4-T/6 = 1200-800 = 400. B is the correct answer.
04 Jan 2018, 16:17
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Hi All,
One of the quirky aspects to this question is that all 3 names start with an "R" (which is is something the GMAT writers would rarely do). As such, I'm going to create 3 new variables to represent the wages that each person earned:
A = Rachel's wage
B = Robin's wage
C = Richard' wage
With the given information, we can create the following two equations:
A + B + C = 2600
4A = 6B = 8C
The second equation can be converted into a ratio; since we know that 4A = 6B = 8C, we can TEST VALUES and define the relationship among the three variables:
The 3 variables in this equation could be:
C=3, B=4 and A=6
Thus, we know that the ratio of A:B:C = 6:4:3... meaning that for every 3 dollars Richard earns, Robin earns 4 dollars and Rachel earns 6 dollars. Thus, the TOTAL wages must be a multiple of 13.... which they are ($2600). By extension, the ratio tells us that...
Rachel earned $1200
Robin earned $800
Richard earned $600
Thus Rachel earned $400 more than Robin.
Final Answer:
GMAT assassins aren't born, they're made,
Rich
One of the quirky aspects to this question is that all 3 names start with an "R" (which is is something the GMAT writers would rarely do). As such, I'm going to create 3 new variables to represent the wages that each person earned:
A = Rachel's wage
B = Robin's wage
C = Richard' wage
With the given information, we can create the following two equations:
A + B + C = 2600
4A = 6B = 8C
The second equation can be converted into a ratio; since we know that 4A = 6B = 8C, we can TEST VALUES and define the relationship among the three variables:
The 3 variables in this equation could be:
C=3, B=4 and A=6
Thus, we know that the ratio of A:B:C = 6:4:3... meaning that for every 3 dollars Richard earns, Robin earns 4 dollars and Rachel earns 6 dollars. Thus, the TOTAL wages must be a multiple of 13.... which they are ($2600). By extension, the ratio tells us that...
Rachel earned $1200
Robin earned $800
Richard earned $600
Thus Rachel earned $400 more than Robin.
Final Answer:
GMAT assassins aren't born, they're made,
Rich
