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Posted by **Char** on Sunday, October 21, 2012 at 10:32pm.

- Math -
**Reiny**, Sunday, October 21, 2012 at 10:48pmnumber of seats --- s

number of horns --- h

number of wheels -- w

number of handlebars -- b

"number of seats and horns equaled the number of wheels" ---> s + h = w

"the number of seats and handlebars equaled the number of horns" --> s + b = h

"twice the number of wheels is equal to 3 times number of handlebars" --> 2w = 3b

we want h : s, so play around getting rid of b and w

first and last:

w = s+h, w = 3b/2

so s+h = 3b/2

2s + 2h = 3b

from 2nd:

b = h-s

in 2s + 2h = 3b

2s + 2h = 3(h-s)

2s + 2h = 3h - 3s

5s = h

then b = h-s = 5s-s = 4s

from above:

h = s+b = s+4s = 5s

so h:s = 5s : s = 5 : 1

horns : seats = 5 : 1

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