Question
The owner of a bike shop sells unicycles and bicycles and keeps inventory by counting seats and wheels. One day, she counts 20 seats and 28 wheels. The
equation representing the total number of seats is u + b = 20 where wis the
number of unicycles and b is the number of bicycles.
Select the equation representing the number of wheels.
A. u + 2b = 28
B. 2u + b= 20
• C. 2u+ b= 28
equation representing the total number of seats is u + b = 20 where wis the
number of unicycles and b is the number of bicycles.
Select the equation representing the number of wheels.
A. u + 2b = 28
B. 2u + b= 20
• C. 2u+ b= 28
Answers
GPT-4o mini
To represent the total number of wheels in terms of unicycles (u) and bicycles (b), we need to consider how many wheels each type of cycle has:
- A unicycle has 1 wheel.
- A bicycle has 2 wheels.
Therefore, the total number of wheels can be represented by the equation:
\[ \text{Total Wheels} = (\text{Number of Unicycles} \times \text{Wheels per Unicycle}) + (\text{Number of Bicycles} \times \text{Wheels per Bicycle}) \]
This translates to:
\[ u + 2b \]
Since the total count of wheels is 28, the equation can be set up as:
\[ u + 2b = 28 \]
Thus, the correct answer is:
**A. u + 2b = 28**
- A unicycle has 1 wheel.
- A bicycle has 2 wheels.
Therefore, the total number of wheels can be represented by the equation:
\[ \text{Total Wheels} = (\text{Number of Unicycles} \times \text{Wheels per Unicycle}) + (\text{Number of Bicycles} \times \text{Wheels per Bicycle}) \]
This translates to:
\[ u + 2b \]
Since the total count of wheels is 28, the equation can be set up as:
\[ u + 2b = 28 \]
Thus, the correct answer is:
**A. u + 2b = 28**