One group (A) contains 45 people. One-fifth of the people in group A will be selected to win $15 fuel cards. There is another group (B) in a nearby town that will receive the same number of fuel cards, but there are 116 people in that group. How many non-winners are in group (B)?
One-fifth of group A is 45 / 5 = <<45/5=9>>9 winners
There will be 116 - 9 = <<116-9=107>>107 non-winners in group B. Answer: \boxed{107}.
First, let's find out how many people from group A will be selected to win the fuel cards.
One-fifth of the people in group A will be selected, so we need to find one-fifth of 45.
One-fifth of 45 is 45/5 = 9 people.
Next, let's find out how many fuel cards will be given to group B, which has 116 people.
Since we are giving away the same number of fuel cards, group B will also receive 9 fuel cards.
To find the number of non-winners in group B, we subtract the number of winners from the total number of people in group B.
Non-winners in group B = Total number of people in group B - Number of winners
= 116 - 9
= 107
Therefore, there are 107 non-winners in group B.