Bunuel wrote:
Every person in a certain group is either a Dodgers fan or a Yankees fan, but not both. The ratio of Yankees fans to Dodgers fans is 5 to 3. If 22 Yankees fans change teams to become Dodgers fans, the ratio of Dodgers fans to Yankees fans will be 1 to 1. How many people are in the group?
A. 22
B. 88
C. 128
D. 144
E. 176
Kudos for a correct solution.
By checking the answer choices:
Since we have a initial ratio of 5:3, the total count should be divisible by 8.
A. Out, since not divisible by 8.
B. 88/8=11, Yankees Fan = 55, Dodgers Fan = 33, Since 55-22 is not equal to 33+22 this as well can not be the answer.
C. 128/8=16, Yankees Fan = 80, Dodgers Fan = 48, Since 80-22 is not equal to 48+22 this as well can not be the answer.
D. 144/8=18, Yankees Fan = 90, Dodgers Fan = 54, Since 90-22 is not equal to 54+22 this as well can not be the answer.
E. 176/8=22, Though no checking required, but just to make sure, Yankees Fan = 110, Dodgers Fan = 66, and 110-22 = 66+22.
E is the correct answer.
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Regards,
J
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