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)
Math Short Answer Rubric (2 points)
Points Awarded Criteria
2
The answer is correct. The student made no errors while solving.
The answer shows that the student used problem-solving skills and reasoning.
All work is shown or explained.
1
The answer is partially correct. The student made errors while solving.
The answer shows little problem-solving skills or reasoning.
Some work is shown or explained.
0 The question is not answered.
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To determine if the student is correct, we need to compare the actual ratio of purple buttons to green buttons. The actual ratio can be found by dividing the number of purple buttons (4) by the number of green buttons (3), which equals 4/3.
The student wrote the ratio as 3:4, which is the inverse of the actual ratio. Therefore, the student is incorrect.
The correct ratio of purple buttons to green buttons is 4:3.
To determine if the student is correct in writing the ratio of purple buttons to green buttons as 3:4, we need to compare the actual quantities of the purple and green buttons.
According to the problem, there are 2 red buttons, 3 green buttons, and 4 purple buttons in the bag.
The student's ratio is 3:4, which means they are comparing 3 purple buttons to 4 green buttons.
To verify if the ratio is correct, we need to check if the ratio represents the actual quantities.
The problem states that there are 4 purple buttons and 3 green buttons.
Since the student's ratio of 3:4 matches the actual quantities, we can conclude that the student is correct.
To determine if the student is correct in writing the ratio of purple buttons to green buttons as 3:4, we need to check if the ratio is equal to the actual number of purple buttons to green buttons.
The student wrote the ratio of purple buttons to green buttons as 3:4.
To compare this ratio with the actual number of purple buttons to green buttons, we need to write the ratio in its simplified form.
To do this, we divide the number of purple buttons and green buttons by their greatest common factor.
The greatest common factor of 3 and 4 is 1.
Therefore, the simplified ratio of purple buttons to green buttons is 3 divided by 1 : 4 divided by 1, which is 3:4.
Since the student's written ratio of 3:4 is equal to the simplified ratio of 3:4, the student is correct.