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