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.(2 points)
The student is not correct. The ratio for the number of purple buttons to green buttons is actually 4:3, not 3:4. The student reversed the order of the ratio.
To determine whether the student is correct, we need to compare the ratio of purple buttons to green buttons given by the student (3:4) with the actual number of purple buttons to green buttons in the bag.
According to the information provided, there are 2 red buttons, 3 green buttons, and 4 purple buttons in the bag.
The ratio of purple buttons to green buttons in the bag is therefore 4:3, not 3:4.
Thus, the student is not correct. The correct ratio is 4:3 because there are 4 purple buttons and 3 green buttons in the bag.
To determine whether the student is correct in stating that the ratio of purple buttons to green buttons is 3:4, we need to first calculate the actual ratio of purple buttons to green buttons.
To calculate the ratio between two numbers, we divide one number by the other. In this case, the number of purple buttons is 4, and the number of green buttons is 3. So the correct ratio would be 4:3.
Since the student wrote the ratio as 3:4, they got the numbers reversed. Therefore, the student is incorrect.