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The total number of seats and wheels on unicycles U and bicycles B are identified by the following equations :

Seats : U + B = 21 (also the total of all cycles)
Wheels : U + 2B = 30

Combining, you get wheels minus seats :

[U + 2B] - [U + B] = 30-21 and B = 9

And since S = U + B = 21, then U = 21 - B, and U = 12

There are 12 unicycles and 9 bicycles (12+9 seats and 12+18 wheels).

(The difference is immediately apparent because you have 9 "extra wheels".)

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Leonel Dunham

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3y ago

u+2b =22

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Talon Hardiek

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1y ago

u+2b=30 (apex)

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Anonymous

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Q: The owner of a bike shop sells unicycles and bicycles and keeps inventory by counting seats and wheels. One day she counts 21 seats and 30 wheels. How many of each type of cycle are there?
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