Question 932114
On the first day, I cycled 1/2 of the distance.
 On day 2, I cycled one half of the remaining distance.
 On day 3, I cycled three quarters of the remaining distance.
 On day 4, I cycled 10 miles.
 On day 5 I cycled 2/3 of the remaining distance and
 on the final day I cycled the remaining 5 miles.
How far is it to my Grandmothers house?
:
Let d = distance to Grandma's house
End of day 1: {{{1/2}}}d remains
End of day 2: {{{1/2}}} * {{{1/2}}}d = {{{1/4}}}d remains
End of day 3: {{{1/4}}}d * {{{1/4}}} = {{{1/16}}}d remains
End of day 4: {{{1/16}}}d - 10 mi remain
End of day 5: {{{1/3}}}({{{1/16}}}d - 10) = 5 (remained for the last day) 
{{{1/48}}}d - {{{10/3}}} = 5 
{{{1/48}}}d = 5 + {{{10/3}}}
{{{1/48}}}d = {{{15/3}}} + {{{10/3}}} 
{{{1/48}}}d = {{{25/3}}}
multiply both sides by 48
d = 16(25) 
d = 400 miles to grandma's house