SOLUTION: A carriage's rear wheel's circumference is 3 ft. longer than front wheel's circumference. Front wheel makes 100 more revolutions than rear wheel in moving 6000 ft. Determine each

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Question 1205394: A carriage's rear wheel's circumference is 3 ft. longer than front wheel's circumference. Front wheel makes 100 more revolutions than rear wheel in moving 6000 ft. Determine each wheel's circumference.
Not sure how to solve.
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
This is not a finished answer. Only it's a way of showing how solve.

             CIRCUMF.       REV's in 6000 ft

REAR          c+3            6000/(c+3)

FRONT          c             6000/c

DIFFERENCE                    100


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continuing....
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6000%2Fc-6000%2F%28c%2B3%29=100
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60%2Fc-60%2F%28c%2B3%29=1
60%28c%2B3%29-60c=c%5E2%2B3c
60c%2B180-60c=c%5E2%2B3c
180=c%5E2%2B3c------------MAYBE try factorizations according to c%28c%2B3%29 for 180.

3*60, 4*45, 5*36, 6*30, 9*20, 10*18, 12*15
That last one may work.

12%2812%2B3%29=180

c=12, and c%2B3=15.
Small wheel 12 feet;
Large wheel 15 feet.