A cycle shop owner had 36 handle bars and 84 wheels to assemble
cycles. He wanted to use all the handle bars and wheels to assemble
bi-cycles and tri-cycles. How many bi-cycles and how many tri-cycles
can he assemble?
Answers
Step-by-step explanation:
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Nature
MATH
The Bicycle Problem That Nearly Broke Mathematics
Jim Papadopoulos has spent a lifetime pondering the maths of bikes in motion. Now his work has found fresh momentum
By Brendan Borrell, Nature magazine on July 20, 2016
The Bicycle Problem That Nearly Broke Mathematics
Credit: Purestock/Punchstock/Getty Images (MARS)
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Editor’s Note (7/29/16): An earlier version of this story contained several biographical inaccuracies and did not give Jim Papadopoulos a chance to respond to the comment about his ability to finish things. Michael Papadopoulos moved his family to the United States more than a decade before taking a job at Oregon, not in 1967. Jim Papadopoulos spent a whole academic year at Oregon before starting at MIT. He did not write to bike companies asking for work until the 1990s. His time at the US Geological Survey was part of an internship, not a full-time job. The e-mail list he moderated was also founded by him, and is called Hardcore Bicycle Science. He has actually published three first-author papers, but just one related to bicycle science. He was also not given a chance to respond to a comment about his ability to finish things.
Seven bikes lean against the wall of Jim Papadopoulos's basement in Boston, Massachusetts. Their paint is scratched, their tyres flat. The handmade frame that he got as a wedding present is coated in fine dust. “I got rid of most of my research bikes when I moved,” he says. The bicycles that he kept are those that mean something to him. “These are the ones I rode.”
Papadopoulos, who is 62, has spent much of his life fascinated by bikes, often to the exclusion of everything else. He competed in amateur races while a teenager and at university, but his obsession ran deeper. He could never ride a bike without pondering the mathematical mysteries that it contained. Chief among them: What unseen forces allow a rider to balance while pedalling? Why must one initially steer right in order to lean and turn left? And how does a bike stabilize itself when propelled without a rider?
thanks
Answer:
No. of handle bars - 36
No. of wheels - 84
No. of wheels in bicycle- 2
To find tricycles we will divide the number of bicycles with 2 as it will be half a number of bicycles
ANS- 24 bicycles and 12 tricycles