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the owner of a bike shop sell unicycles and bicycles and keeps inventory by counting seats and wheels. one day, she counts 15 seats and 22 wheels. The equation representing the total number of seats is u + b = 15 where u is the number of unicycles and b is the number of bicycles. Select the equation representing the number of wheels.

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To find the equation representing the total number of wheels, we need to account for the fact that a unicycle has 1 wheel and a bicycle has 2 wheels.

Given:

  • \( u \) = number of unicycles
  • \( b \) = number of bicycles

The total number of wheels from unicycles and bicycles can be expressed as: \[ \text{Total Wheels} = 1u + 2b \]

According to the problem, the owner counted a total of 22 wheels. Therefore, we can set up the equation: \[ u + 2b = 22 \]

So, the equations representing the total number of seats and the total number of wheels are:

  1. \( u + b = 15 \) (total seats)
  2. \( u + 2b = 22 \) (total wheels)

Thus, the equation representing the number of wheels is: \[ u + 2b = 22 \]