Question 945085
 A family making a long trip drove 1/4 of the distance on the first day,
 575 miles on the second day and
 125 miles more than the first day on the third day. 
How long was the trip?
:
let d = total distance of the trip
:
dist = day 1 + day 2 + day 3
d = {{{1/4}}}d + 575 + {{{1/4}}}d + 125
Add the like terms
d = {{{1/2}}}d + 700
d - {{{1/2}}}d = 700
{{{1/2}}}d = 700
multiply both sides by 2, get rid of the fraction
d = 1400 mi
:
:
Confirm this for yourself, calculate:
d = {{{1/4}}}(1400) + 575 + {{{1/4}}}(1400) + 125