When the Slowpoke Marathon began, the ratio of runners to joggers was 2 to 19. A total of 4200 participants began the race (each either a runner or a jogger, but not both), but 450 joggers dropped out of the race along the way. Out of the remaining participants, who are runners, 16 % of them dropped out of the race. If everyone else finished the race, then what was the simplified ratio of runners to joggers among those who finished the race?

  168 : 1675

Step-by-step explanation:

At the beginning of the race, the number of ratio units was 2+19 = 21, so each stands for 4200/21 = 200 participants. Then there were ...

At the end of the race, there were 450 fewer joggers, so ...

  3800 -450 = 3350 . . . joggers

16% of the 400 runners is 64 runners, so with that many dropping out, the remaining number of runners was ...

  400 -64 = 336

So, at the end of the race the ratio of runners to joggers was ...

  336 : 3350 = 168 : 1675

168 : 1675

Step-by-step explanation:

2/21 × 4200 = 400 runners

19/21 × 4200 = 3800 joggers

3800 - 450 = 3350 joggers

400 - 16%(400) = 336 runners

336 : 3350

168 : 1675

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step-by-step explanation:

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