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24 August, 04:27

One group (A) contains 585 people. One-third 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 receive the same number of fuel cards, but there are 488 people in that group. What will be the ratio of nonwinners in group A to nonwinners in group B after the selections are made? Express your ratio as a fraction or with a colon.

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  1. 24 August, 07:16
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    390 : 293

    Step-by-step explanation:

    2/3 of Group A are non-winners. That number is ...

    (2/3) (585) = 390

    The number of winners is the same in both groups, so the number of non-winners in Group B is this number reduced by the difference in group size:

    390 - (585 - 488) = 390 - 97 = 293

    So, the ratio of A non-winners to B non-winners is ...

    390 : 293
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