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?
:
let d = the total distance of the race
:
d = {{{2/5}}}d + {{{1/3}}}d + 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
{{{2/5}}}*30000 = 12000
{{{1/3}}}*30000 = 10000
. . . . . . . . . . 8000
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total dist: 30000