SOLUTION: if (a+b)/a = 6 and (b+c)/c = 9, compute the numerical value of a/c

Algebra ->  Expressions-with-variables -> SOLUTION: if (a+b)/a = 6 and (b+c)/c = 9, compute the numerical value of a/c      Log On


   



Question 20929: if (a+b)/a = 6 and (b+c)/c = 9, compute the numerical value of a/c
Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
(a+b)/a = 6 ...
(a/a)+(b/a)=6...
1+b/a=6
b/a=6-1=5..................I.
and (b+c)/c = 9
(b/c)+(/c)=9
b/c=9-1=8......................II
dividing II with I,we get
(b/c)/(b/a)=8/5
(b*a)/(b*c)=8/5
a/c=8/5