Solved on Dec 07, 2023
Determine if the student's ratio of for purple to green buttons in a bag with 2 red, 3 green, and 4 purple buttons is correct. Explain.
STEP 1
Assumptions
1. There are 2 red buttons in the bag.
2. There are 3 green buttons in the bag.
3. There are 4 purple buttons in the bag.
4. The student writes the ratio of purple buttons to green buttons as .
STEP 2
To determine if the student is correct, we need to write the actual ratio of purple buttons to green buttons using the given numbers of each color button.
STEP 3
Now, plug in the given values for the number of purple buttons and the number of green buttons to calculate the actual ratio.
STEP 4
The ratio can be expressed in terms of whole numbers by multiplying both the numerator and the denominator by the same number to get rid of any fractions or decimals, if necessary. In this case, the ratio is already in whole numbers.
STEP 5
Compare the actual ratio with the student's ratio.
The actual ratio is , while the student's ratio is .
STEP 6
Determine if the student's ratio is correct.
The student's ratio is not correct because it is the inverse of the actual ratio. The correct ratio of purple buttons to green buttons should be , not .
The student is incorrect.
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