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) 22b) 88c) 128d) 144e) 176

  E)  176

Step-by-step explanation:

The difference in ratio units is 5 -3 = 2. If one ratio unit changes sides, the ratio will be 4 : 4, or 1 : 1. Then one ratio unit represents 22 group members.

There are a total of 5+3 = 8 ratio units, so there are ...

  8 × 22 = 176

people in the group.

Check

The original group has 5 × 22 = 110 Yankees fans and 3 × 22 = 66 Dodgers fans, for a total of 110+66 = 176 group members. If 22 switch sides, there will be 110-22 = 88 Yankees fans and 66+22 = 88 Dodgers fans, making the ratio ...

  88 : 88 = 1 : 1

176

Step-by-step explanation:

E) 176

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step-by-step explanation:

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