Question
The ratio of bikes to scooters is 3:4. If there are 56 vehicles, how many are bikes?
(1 point)
Responses
24 bikes
24 bikes
32 bikes
32 bikes
7 bikes
7 bikes
8 bikes
8 bikes
(1 point)
Responses
24 bikes
24 bikes
32 bikes
32 bikes
7 bikes
7 bikes
8 bikes
8 bikes
Answers
GPT-4o mini
To find the number of bikes when the ratio of bikes to scooters is 3:4 and the total number of vehicles is 56, we can set up the equation based on the ratio.
Let the number of bikes be \( 3x \) and the number of scooters be \( 4x \).
According to the problem:
\[
3x + 4x = 56
\]
Combining like terms:
\[
7x = 56
\]
Now, solve for \( x \):
\[
x = \frac{56}{7} = 8
\]
Now, substitute \( x \) back to find the number of bikes:
\[
\text{Number of bikes} = 3x = 3 \times 8 = 24
\]
Thus, there are **24 bikes**.
Let the number of bikes be \( 3x \) and the number of scooters be \( 4x \).
According to the problem:
\[
3x + 4x = 56
\]
Combining like terms:
\[
7x = 56
\]
Now, solve for \( x \):
\[
x = \frac{56}{7} = 8
\]
Now, substitute \( x \) back to find the number of bikes:
\[
\text{Number of bikes} = 3x = 3 \times 8 = 24
\]
Thus, there are **24 bikes**.