Every person in a certain group is either a Lakers fan or a Warriors fan, but not both. The ratio of Lakers fans to Warriors fans is 9 to 4. If 40 Lakers fans change teams to become Warriors fans, the ratio of Warriors fans to Lakers fans will be 1 to 1. How many people are in the group? Choose the correct choice from the following:
A) 260	B) 52	C) 182	D) 169	E) 12
By checking the answer choices:   Since we have an initial ratio of 9:4, the total count should be divisible by 13.   A. 260/13=20, Lakers Fan = 180, Warriors Fan = 100, and 180-40 = 100+40. This is the Correct Answer   B. 52/13=4, Lakers Fan = 36, Warriors Fan = 16, Since 36-40 is not equal to 16+40 this as well can not be the answer.   C. 182/13=14, Lakers Fan = 126, Warriors Fan = 56, Since 126-40 is not equal to 56+40 this as well can not be the answer.   D. 169/13=13, Lakers Fan = 117, Warriors Fan = 52, Since 117-40 is not equal to 52+40 this as well can not be the answer.   E. Out, since not divisible by 13.   260 is the correct answer.
<result>A</result>
Every person in a certain group is either a Lakers fan or a Warriors fan, but not both. The ratio of Lakers fans to Warriors fans is 9 to 4. If 40 Lakers fans change teams to become Warriors fans, the ratio of Warriors fans to Lakers fans will be 1 to 1. How many people are in the group?