Question
In a bag there are 2 red button three green buttons, and four purple buttons a student writes the ratio for the number of purple buddies to green bunnies as 3 to 4 is this student correct? Explain why or why not.
Answers
GPT-4o mini
Let's analyze the situation using the information provided:
- Red buttons = 2
- Green buttons = 3
- Purple buttons = 4
The student needs to write the ratio of the number of purple buttons to green buttons.
The number of purple buttons is 4, and the number of green buttons is 3.
To express the ratio of purple buttons to green buttons, we write it as:
\[
\text{Ratio of purple buttons to green buttons} = \frac{\text{Number of purple buttons}}{\text{Number of green buttons}} = \frac{4}{3}
\]
This ratio can also be expressed as "4 to 3."
The student wrote the ratio as "3 to 4," which means they would be expressing the ratio as \(\frac{3}{4}\) (which is the number of green buttons to purple buttons).
Thus, the student is **not correct** because they reversed the numbers in the ratio. The correct ratio is 4 to 3 (purple to green).
- Red buttons = 2
- Green buttons = 3
- Purple buttons = 4
The student needs to write the ratio of the number of purple buttons to green buttons.
The number of purple buttons is 4, and the number of green buttons is 3.
To express the ratio of purple buttons to green buttons, we write it as:
\[
\text{Ratio of purple buttons to green buttons} = \frac{\text{Number of purple buttons}}{\text{Number of green buttons}} = \frac{4}{3}
\]
This ratio can also be expressed as "4 to 3."
The student wrote the ratio as "3 to 4," which means they would be expressing the ratio as \(\frac{3}{4}\) (which is the number of green buttons to purple buttons).
Thus, the student is **not correct** because they reversed the numbers in the ratio. The correct ratio is 4 to 3 (purple to green).