Question

One group (A) contains 75 people. Two fifths of the people in group A will be selected to win $20 fuel cards. There is another group (B) in a nearby town that will receive the same number of fuel cards, but there are 154 people in that group. What will be the ratio of no winners in group A to nonwinners in group B after the selections are made? Express your ratio as a fraction or with a colon.

Answer 1

group A contains 75 people

Two-fifths of the people in group A (75*2/5=30) win $20 fuel cards.

so there are 30 fuel cards and 75-30=45 non-winners in group A

group B are 154 people and the same number of fuel cards, so 30

the number of non-winners in group B is 154-30=124

So the ratio of no winners in group A to nonwinners in group B is:

45/124