# math

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during a triathlon, Sharon swims 1/4 of the total route and cycles 3/5 of the remaining route. she runs the rest of the route. if she runs 3,600 meters, find the total distance of the triathlon route. show your work.

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I don't get it

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hello

• math -

during a triathlon, Sharon swims 1/4 of the total route and cycles 3/5 of the remaining route. she runs the rest of the route. if she runs 3,600 meters, find the total distance of the triathlon route. show your work.

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let the total distance be x m

x/4 + 3x/5 + 3600 = x
times 20
5x + 12x + 72000 = 20x
72000 = 3x
x = 24000 m

The triathlon was 24000 m or 24 km

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what do you mean as
5x + 12x + 72000 = 20x
why u need it for?

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34

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