SOLUTION: Dear Sir/Madam, I cannot figure out these simultaneous equations. Please help and show all working out. (12-p)/p=12/b 12/p=(24-b)/b

Question 748512: Dear Sir/Madam,
I cannot figure out these simultaneous equations. Please help and show all working out.
(12-p)/p=12/b
12/p=(24-b)/b
Answer by malglu(63) (Show Source): You can put this solution on YOUR website!
these are proportions so you can multiply the denominators on each side by the numeratpr of the other, to get rid of the fracyions
you get
12b -bp =12p
and
12b = 24p -pb
rearrange these so that you have the b term on one side and the other two terms on the other. then minus one from the other, to get
24b/36 = p
i.e. p = 2/3rds b
if you substuitue this into one of the equations above, for eveyr time you have a 'p' then you will now get an equation which only has b's in it.
2b^2 -12b = 0
this can now be solved
b=0 or b =6
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