SOLUTION: Of two wheels, the circumference of the large one is 3.5 times that of the smaller. In rolling through a distance of 63 metres the smaller wheel makes ten more turns than the large

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Question 953355: Of two wheels, the circumference of the large one is 3.5 times that of the smaller. In rolling through a distance of 63 metres the smaller wheel makes ten more turns than the larger wheel. What is the circumference of each wheel.
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
r, radius of small wheel;
2%2Api%2Ar, circumference of small wheel;
3.5%2A2%2Api%2Ar=7pi%2Ar, circumference of LARGE wheel.

Distance each wheel traveled was 63 meters each.

How many circumferences for each wheel?
That means, how many TURNS for each wheel?

Small Wheel:
63%281%2F%282pi%2Ar%29%29
highlight_green%28%2863%2F2%29%281%2F%28pi%2Ar%29%29%29

Large Wheel:
63%281%2F%287pi%2Ar%29%29
highlight_green%289%2F%28pi%2Ar%29%29

The small wheel made 10 MORE turns than the large wheel made.
highlight%28%2863%29%2F%282%2Api%2Ar%29-%289%29%2F%28pi%2Ar%29=10%29
Solve this equation for the radius r, of the small wheel.
Use r to find the circumference of both wheels.