I got the weighted average as ~28,333 hence answer B is correct. The q is why answer A is correct as well?
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it says to indicate all such amounts.
both a and b meet the criteria.
this question doesn't seem to be the same kind as what you'll see on the gmat.
both a and b meet the criteria.
this question doesn't seem to be the same kind as what you'll see on the gmat.
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there are _more_ than twice as many employees in x as in y.
what _could_ the average be?
it can be anything less than 28333
what _could_ the average be?
it can be anything less than 28333
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Hi,
Let the number of employees in company X and Y be x and y respectively
Given that x > 2y
Average salary is [x(25000) + y(35000)]/x+y = 25K + 10Ky/(x+y)
x>2y => x+y > 3y => y/(x+y) < 1/3
So, 25k + 10k(y/x+y) < 25k + 10k/3 = 28,333
So, average can be any value between 25,000 and 28,333.
As A,B both lie in this range, either of them could be the average salary.
Let the number of employees in company X and Y be x and y respectively
Given that x > 2y
Average salary is [x(25000) + y(35000)]/x+y = 25K + 10Ky/(x+y)
x>2y => x+y > 3y => y/(x+y) < 1/3
So, 25k + 10k(y/x+y) < 25k + 10k/3 = 28,333
So, average can be any value between 25,000 and 28,333.
As A,B both lie in this range, either of them could be the average salary.
Cheers!
Things are not what they appear to be... nor are they otherwise
Things are not what they appear to be... nor are they otherwise