Question 498935
Of a journey, 4/5 of the distance was covered on a plane and 1/6 by driving.
 If, for the rest of the trip, 5 miles is spent walking, how many miles was the total property?
:
Let x = the total distance of the journey
:
total dist - plane dist - drive dist = 5 miles
x - {{{4/5}}}x - {{{1/6}}}x = 5
:
get rid of those annoying fractions, multiply by 30, results
30x - 6(4)x - 5x = 30(5)
:
30x - 24x - 5x = 150
30x - 29x = 150
x = 150 mi is the total dist
:
:
You can confirm this, calculate:
150 - {{{4/5}}}(150) - {{{1/6}}}(150) =