in a bag there are 2 red buttons, 3 green buttons, and 4 purple buttons. a student who writes the ratio the the number of purple buttons to green buttons as 3:4. is this student correct? explain why or why not.
really? They said
3 green buttons, and 4 purple buttons
That is the ratio of green : purple
To determine whether the student is correct in writing the ratio of purple buttons to green buttons as 3:4, we need to check if the ratio matches the actual quantities.
First, let's calculate the total number of purple buttons and green buttons. We have 3 green buttons and 4 purple buttons, so the total is 3 + 4 = 7.
Now, let's determine the ratios of purple buttons to green buttons. The ratio can be calculated by dividing the number of purple buttons by the number of green buttons.
Number of purple buttons / Number of green buttons = 4 / 3
Simplifying the ratio, we get 4:3.
Comparing this simplified ratio to the ratio given by the student (3:4), we can see that they are different. Therefore, the student is not correct in writing the ratio as 3:4.
So, the student's ratio is not accurate because the correct ratio of purple buttons to green buttons is 4:3, not 3:4.
To determine whether the student's ratio of the number of purple buttons to green buttons is correct, we need to compare the actual quantities of purple and green buttons in the bag.
Given that there are 2 red buttons, 3 green buttons, and 4 purple buttons in the bag, we can see that the ratio of purple buttons to green buttons is not 3:4.
To calculate the ratio, we divide the number of purple buttons by the number of green buttons:
Purple buttons:Green buttons = 4:3
Therefore, the student is incorrect as the actual ratio is 4:3, not 3:4.