SOLUTION: Jamella participates in a bicycle race that has three stages. In the first and second stages, it covers 2/5 and a third of the route respectively. In the third stage, she covers

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Question 1173313: Jamella participates in a bicycle race that has three stages. In the first and second stages, it covers 2/5 and a third of the route respectively. In the third stage, she covers the last 8,000 m.
What is the total length of the route in kilometers?

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Jamella participates in a bicycle race that has three stages.
In the first and second stages, it covers 2/5 and a third of the route respectively.
In the third stage, she covers the last 8,000 m.
What is the total length of the route in kilometers?
:
let d = the total distance of the race
:
d = 2%2F5d + 1%2F3d + 8000
get rid of the fractions, multiply by 15, cancel the denominators
15d = 6d + 5d + 15(8000)
15d = 11d + 120000
15d - 11d = 120000
4d = 120000
d = 120000/4
d = 30,000 meters which is 30 km
:
:
Check this
2%2F5*30000 = 12000
1%2F3*30000 = 10000
. . . . . . . . . . 8000
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total dist: 30000