Question 1125575
Last week Shelly Rode her bike a total of 30 miles over a three day period.
 On the second day she rode 4/5 The distance she rode on the first day.
 On the third day she rode 3/2 The distance she rode on the second day.
 How many miles did Shelly ride on each day?
:
let d = distance rode on the 1st day.
"On the second day she rode 4/5 The distance she rode on the first day."
{{{4/5}}}d = distance rode on the 2nd day.
"On the third day she rode 3/2 The distance she rode on the second day."
{{{3/2}}}*{{{4/5}}}d
{{{12/10}}}d = {{{6/5}}}d = distance rode on the 3rd day
:
d + {{{4/5}}}d + {{{6/5}}}d = 30
d + {{{10/5}}}d = 30
d + 2d = 30
3d = 30
d = 10 mi on the 1st day
then
{{{4/5}}}(10) = 8 mi on the 2nd day
and
{{{6/5}}}(10) = 12 mi on the 3rd day