Question 555867
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Just take it one step at a time.


Let *[tex \Large s] represent the number of seats, *[tex \Large h] represent the number of horns, *[tex \Large w] represent the number of wheels, and *[tex \Large b] represent the number of handlebars.


Given 1: *[tex \LARGE \ \ \ \ \ \ \ \ \ \ s\ +\ h\ =\ w]


Given 2: *[tex \LARGE \ \ \ \ \ \ \ \ \ \ s\ +\ b\ =\ h]


Given 3: *[tex \LARGE \ \ \ \ \ \ \ \ \ \ 2w\ =\ 3b]


Substituting, 2 into 1:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ s\ +\ s\ +\ b\ =\ w]


Solve 3 for *[tex \Large w]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ w\ =\ \frac{3}{2}b]


Substitute for *[tex \Large w]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 2s\ +\ b\ =\ \frac{3}{2}b]


Add *[tex \Large\ -b] to both sides:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 2s\ =\ \frac{1}{2}b]


Multiply by 2:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 4s\ =\ b]


Substitute into given #2:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ s\ +\ 4s\ =\ h]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ h\ =\ 5s]



John
*[tex \LARGE e^{i\pi} + 1 = 0]
My calculator said it, I believe it, that settles it
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