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.

Question

Mathematics

Aspen Gallegos

4 December, 17:27

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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Answers (1)

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Clara Preston · Answer 1

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