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? Why or why not?
No, 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 has reversed the order of the ratio.
To determine if the student is correct, we need to compare the actual ratio of purple buttons to green buttons with the ratio the student has written.
Let's calculate the actual ratio of purple buttons to green buttons:
Number of purple buttons = 4
Number of green buttons = 3
Ratio of purple buttons to green buttons = 4:3
Now, let's compare this with the ratio the student has written:
Ratio written by the student = 3:4
By comparing the two ratios, we can see that the ratio written by the student is incorrect. The correct ratio is 4:3, not 3:4.
Therefore, the student is not correct in writing the ratio as 3:4.
To determine whether the student's ratio for the number of purple buttons to green buttons is correct, we need to compare the actual numbers of purple and green buttons in the bag.
According to the information provided, there are 3 green buttons in the bag. To find the corresponding number of purple buttons, we need to use the given ratio.
The ratio given is 3:4, which means that for every 3 purple buttons, there are 4 green buttons.
To determine the number of purple buttons, we can set up a proportion. We know that there are 3 green buttons, so we can set up the following equation:
3/4 = x/3
To solve for x, we cross-multiply:
4x = 9
Dividing both sides by 4, we find:
x = 9/4
Since the number of purple buttons obtained is a decimal, it indicates that the student's ratio is not correct.
In summary, the student is not correct in writing the ratio for the number of purple buttons to green buttons as 3:4 because the actual ratio of purple buttons to green buttons is 9:4, which does not match the given ratio.