Final answer:
Using the ratio of incorrect to correct answers (2:9) and knowing Josie missed 8 questions, we find that each 'part' of the ratio corresponds to 4 questions. Therefore, Josie got 9 parts × 4 questions/part = 36 questions correct.
Step-by-step explanation:
The question asks us to find out how many questions Josie got correct on her vocabulary quiz given the ratio of incorrect to correct answers and the number of questions she missed. Since the ratio is 2:9 and Josie missed eight questions, we can set up a ratio proportion to solve for the number of questions she got correct.
To demonstrate this, we can draw a bar diagram. Let each 'part' of the ratio represent a certain number of questions. Since Josie missed 8 questions and the ratio of incorrect to correct is 2:9, every 'part' corresponds to 4 questions (since 8 divided by 2 equals 4). This means that for the correct part (which has 9 parts), Josie got 9 parts × 4 questions/part = 36 questions correct.
Bar Diagram:
-
- Incorrect (2 parts): 8 questions
-
- Correct (9 parts): 36 questions