SOLUTION: I have 51 handle bars and 116 wheels. Using all the parts how many tricycles and bicycles can I assemble?

Question 154928: I have 51 handle bars and 116 wheels. Using all the parts how many tricycles and bicycles can I assemble?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
I have 51 handle bars and 116 wheels. Using all the parts how many tricycles and bicycles can I assemble?
-----------------------------------------
Let # of tricycles be "t".
Let # of bicycles by "b".
---------------------------
Handle bar equation: t + b = 51
Wheel equation.....: 3t + 2b = 116
-------------------------------------
Rewrite the equations:
3t + 3b = 153
3t + 2b = 116
------------------
Subtract 2nd from 1st to solve for "b":
b = 37 (# of bicycles)
------
Substitute into t+b = 51 to solve for "t"
t + 37 = 51
t = 14 (# of tricycles)
===========================
Cheers,
Stan H.
RELATED QUESTIONS
Here is the question in its exact words, There are a different number of bicycles,... (answered by checkley71,scott8148)

Pop's Cycle Shop sells bicycles and tricycles. The number of bicycles is 1 less than 5... (answered by gonzo)

Pops Cycle Shop sells bicycles and tricycles. The number of bicycles is 1 less than 4... (answered by Alan3354)

Pop's Cycle Shop sells bicycles and tricycles. The number of bicycles is 1 less than 4... (answered by mananth)

A cycle shop sells bicycles and tricycles. The number of bicycles is 1 less than 4 times... (answered by pedjajov)

Pop's Cycle Shop sells bicycles and tricycles. The number of bicycles is 1 less than 4... (answered by jojo14344)

solve. pop's cycle shop sells bicycles and tricycles. the number of bicycles is 1 less (answered by stanbon)

A factory makes both bicycles and tricycles. Each bicycle has two wheels and three... (answered by stanbon)

Store has total of 15 bicycles and 15 tricycles. There are 37 wheels. How many... (answered by ReadingBoosters)