Question
In a bag there are 2 red buttons, 3 green buttons, and 4 purple buttons. A student writes the ratio for the number of purple buttons to green buttons as 3:4
. Is this student correct? Explain why or why not.
Answers
GPT-4o mini
To determine if the student's ratio is correct, we need to first identify the number of purple buttons and green buttons in the bag.
- The number of purple buttons is 4.
- The number of green buttons is 3.
The ratio of purple buttons to green buttons is calculated by placing the number of purple buttons first and the number of green buttons second. Therefore, the ratio is:
\[
\text{Ratio of purple buttons to green buttons} = \frac{\text{Number of purple buttons}}{\text{Number of green buttons}} = \frac{4}{3}
\]
This can be represented as the ratio 4:3.
The student wrote the ratio as 3:4, which is the reverse of the correct ratio. Therefore, the student's statement is **not correct** because the correct ratio of purple buttons to green buttons is 4:3, not 3:4.
- The number of purple buttons is 4.
- The number of green buttons is 3.
The ratio of purple buttons to green buttons is calculated by placing the number of purple buttons first and the number of green buttons second. Therefore, the ratio is:
\[
\text{Ratio of purple buttons to green buttons} = \frac{\text{Number of purple buttons}}{\text{Number of green buttons}} = \frac{4}{3}
\]
This can be represented as the ratio 4:3.
The student wrote the ratio as 3:4, which is the reverse of the correct ratio. Therefore, the student's statement is **not correct** because the correct ratio of purple buttons to green buttons is 4:3, not 3:4.