Question 582626
A bicycle as 2 wheels, 2 pedals, and 1 seat. 
A tricycle has 3 wheels, 2 pedals, and 1 seat. 
A tandem bike has 2 wheels, 4 pedals, and 2 seats. 
How many of each are there if 
there are 
144 front steering handlebars, 
378 pedals, 
320 wheels? 
------------------------------------------------
How many bicycles, tricycles, and tandem bikes?
----
Wheels Eq: 2b + 3t + 2tb = 320
Pedals Eq: 2b + 2t + 4tb = 378
HandbarEq: 1b + 1t + 1tb = 144
----------------------------
I used the Matrix function on my TI-84 to get:
b = 67 bikes 
t = 32 tricycles
tb = 45 tandem bikes
===========================
Cheers,
Stan H.
=================