Every person at a birthday party either wants candy or a wants cake, but not both. The ratio of people who want cake to people who want candy is 9 to 6 . If 9 people decided they wanted candy instead of cake, the ratio of people who want cake to people who want candy will be 1 to 1. How many people could be at the party? Choose one:
A) 60
B) 50
C) 90
D) 45
E) Both C and D
By checking the answer choices:   Since we have an initial ratio of 9:6, the total count should be divisible by 15.   A. 60/15=4, Cake People = 36, Candy People = 24, Since 36-9 is not equal to 24+9 this can not be the answer.   B. Out, Since not divisible by 15.   C. 90/15=6, Cake People = 54, Candy People = 36, Since 54-9 is equal to 36+9, this is the correct answer.   D. 45/15=3, Cake People = 27, Candy People = 18, Since 27-9 is not equal to 18+9 this as well can not be the answer.   E. Since choice D is not correct, choice E is also not correct.   90 is the correct answer.
<result>C</result>
Every person at a birthday party either wants candy or a wants cake, but not both. The ratio of people who want cake to people who want candy is 9 to 6 . If 9 people decided they wanted candy instead of cake, the ratio of people who want cake to people who want candy will be 1 to 1. How many people could be at the party?