Question

the owner of a bike shop sells 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. a. 2u + b = 22 b. 2u + b = 15 c. u + 2b = 15 d. u + 2b = 22

Explanation:

Step1: Analyze unicycle wheels

A unicycle (\(u\)) has 1 wheel, so total wheels from unicycles: \(1\times u = u\)

Step2: Analyze bicycle wheels

A bicycle (\(b\)) has 2 wheels, so total wheels from bicycles: \(2\times b = 2b\)

Step3: Total wheels equation

Total wheels = wheels from unicycles + wheels from bicycles. Total wheels are 22, so \(u + 2b = 22\)

Answer:

D. \(u + 2b = 22\)