SOLUTION: Mike is half again as old as Peter, who is half again as old as Shane. Their total age is 152. How old is Peter?

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Question 1011779: Mike is half again as old as Peter, who is half again as old as Shane. Their total age is 152. How old is Peter?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Mike is half again as old as Peter,
m = 1.5p
who is half again as old as Shane.
p = 1.5s
or
s = p%2F1.5
Their total age is 152.
m + p + s = 152
How old is Peter?
substitute
1.5p + p + p%2F1.5 = 152
multiply equation by 1.5
2.25p + 1.5p + p = 228
4.75p = 228
p = 228/4.75
p = 48 yrs is Pete's age
:
:
see if that checks out
1.5(48) + 48 + 48%2F1.5 =
72 + 48 + 32 = 152