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28 March, 22:53

One group (A) contains 130 people. Two-fifths of the people in group A will be selected to win $50 fuel cards. There is another group (B) in a nearby town that will receive the same number of fuel cards, but there are 579 people in that group. What will be the ratio of nonwinners in group A to nonwinners in group B after the selections are made?

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  1. 28 March, 23:23
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    The ratio of non-winners in group A is 3/5 and in group B is 527/579. And the ratio of non-winners in group A to non-winners in group B will be 78/527.

    Step-by-step explanation:

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

    People in group A = 130

    People in group B = 579

    People in group A that will be selected to win US$ 50 fuel cards = 2/5

    People in group B that will be selected to win US$ 50 fuel cards = same amount that group A

    2. What will be the ratio of non-winners in group A to non-winners in group B after the selections are made?

    Group A

    If winners are 2/5, non-winners will be 1 - 2/5

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

    Now, let's calculate the number of winners:

    2/5 * 130 = 52 winners ⇒ 78 non-winners

    Group B

    Number of winners = 52 (Same amount that group A)

    Ratio of winners = 52/579

    Ratio of non-winners = 1 - 52/579 = 579/579 - 52/579 = 527/579

    The ratio of non-winners in group A is 3/5 and in group B is 527/579. And the ratio of non-winners in group A to non-winners in group B will be 78/527.
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