Question

One group (A) contains 90 people. Three-fifths of the people in group A will be selected to win $25 fuel cards. There is another group (B) in a nearby town that will receivethe same number of fuel cards, but there are 173 people in that group. What will be the ratio of nonwinners in group A to nonwinners in group B after the selections aremade? Express your ratio as a fraction or with a colon.

Answer 1

Let's review the information given to us to answer the question correctly:

People in group A = 90

People in group B = 173

People in group A that will be selected to win US$ 25 fuel cards = 3/5

People in group B that will be selected to win US$ 25 fuel cards = same amount that group A.

Now, we could make the following question. What will be the ratio of non-winners in group A to non-winners in group B after the selections are made?

For group A:

If winners are 3/5, non-winners will be 1 -3/5

1 - 3/5 = 5/5 - 3/5 = 2/5

Now, let's calculate the number of winners:

3/5 * 90 = 54 winners ⇒ 36 non-winners

For group B:

Number of winners: 54 (Same amount that group A).

Number of non-winners: 119

the ratio of non-winners in group A to non-winners in group B will be:

`(36)/(119)`