Need help with Pure statistics and intgers, include every step!

Statistics
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Q1> a,b, and c are integers and a<b<c. S is the set of all integers from a to b, inclusive. Q is the set of all integers from b to c, inclusive. The median of Set S is (3/4)b. The median of set Q is (7/8)c. If R is the set of all integers from a to c, inclusive, what fraction of c is the median of set R?

Dec 15th, 2015

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median of S =(a+b)/2 = 3/4 b 

a+b = 3/2 b 

1/2 b = a 

b= 2a

median of Q= (b+c)/2 = 7/8 c

b+c = 7/4 c 

b = 3/4 c

a = 1/2 b = 3/8c 

median of R = (a+c)/2 = a/2+c/2 = 3/16 c + c/2 =11/16 c


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Dec 15th, 2015

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