What is the value of X?? HELP

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What is the value of X?? HELP

by gmatpup » Sat Dec 24, 2011 9:26 am
Please explain, thank you!!

A list of measurements in increasing order is 4, 5, 6, 8, 10, and x. If the median is 6/7 times the mean, what is the value of x?

A. 16
B. 15
C. 14
D. 13
E. 12

Answer is A
Source: — Problem Solving |

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by LalaB » Sat Dec 24, 2011 9:33 am
4 5 6 8 10 x
median = (6+8)/2
mean (4+5+6+8+10+x)/6=(33+x)/6

Median=6/7*Mean

7=6/7*(33+x)/6

x=16

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by gmatpup » Sat Dec 24, 2011 9:44 am
Sorry,

Can you please explain how you got to 16?

Thanks!!

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by LalaB » Sat Dec 24, 2011 9:47 am
gmatpup wrote:Sorry,

Can you please explain how you got to 16?

Thanks!!
did u get everything before this equation-7=6/7*(33+x)/6?
if yes, then

7=6/7*(33+x)/6
7=6*(33+x)/7*6
49=33+x
x=16

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by gmatpup » Sat Dec 24, 2011 11:39 am
OHH now I totally get it, thanks so much!!!!! :)