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You have entered a bicycle race on a closed circuit. After several hours of pedaling, you realize that the sum


of one-fifth of the racers in front of you and five-sixth of the racers in back of you total the number of racers. If there are less than 50 bikes on the track, how many cyclists are in the race?

best Answer goes to first correct answer whose work is shown.

Let x be the number of racers.

Then, x/5 + 5x/6 = x + 1 (The 1 is to account for yourself.)

31x/30 = x + 1

x/30 = 1

x = 30

There are 30 cyclists in the race, counting yourself
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