Josie took a long multiple-choice, end-of-year vocabulary test. the ratio of the number of problems josie got incorrect to the number of problems she got correct is 2: 9.
if josie missed 8 questions, how many did she get right? draw a tape diagram to demonstrate how you found the answer .

The correct answer is 36.  The ratio of number of correct problems to the incorrect is 2:9.  Josie missed 8 questions.  The common number for 8 and 2 is four.  You multiply 4 to 9 and that will give us 36.  To further illustrate see the explanation below:
2:9 = 8:36
8/2 = 4
36/9 = 4

2:9 = 8:?
8/2 = 4
4 x 9 = 36

The answer to your question is 1/9