A manufacturer of bicycles has 4250 wheels, 2755 frames and 2255 handlebars.

How many bicycles can be manufactured using these parts?
a. 2125 complete bicycles
b. 2255 complete bicycles
c. 2755 complete bicycles
d. 4250 complete bicycles
e. 9260 complete bicycles

and

How many parts of each kind are left over after all possible bicycles are manufactured?

a. 100 wheels, 52 frames, no handlebars
b. no wheels, 515 frames, 244 handlebars
c. no wheels, 630 frames, 130 handlebars
d. 150 wheels, 525 frames, no handlebars
e. 125 wheels, no frames, 215 handlebars

The answer to your question is  a) 2125 bicycles  

c) No wheels, 630 frames, 130 handlebars.

Explanation:

Data

4250 wheels

2755 frames

2255 handlebars

- To manufacture a bicycle we need:

  2 wheels x bicycle

  1 frame

  1 handlebar

- Divide the number of wheels

   4250/ 2 = 2125 bicycles  / wheels

    2755     = frames

    2255    = handlebars

As the number of pairs of wheels is lower than the number of frames and the number of handlebars we conclude that we can only manufacture 2125 bicycles.

b)

No wheels

Frames = 2755 - 2125 = 630

Handlebars = 2255 - 2125 = 130

it is the most commonly accepted one