SOLUTION: 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 Th

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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?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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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%2F5d = distance rode on the 2nd day.
"On the third day she rode 3/2 The distance she rode on the second day."
3%2F2*4%2F5d
12%2F10d = 6%2F5d = distance rode on the 3rd day
:
d + 4%2F5d + 6%2F5d = 30
d + 10%2F5d = 30
d + 2d = 30
3d = 30
d = 10 mi on the 1st day
then
4%2F5(10) = 8 mi on the 2nd day
and
6%2F5(10) = 12 mi on the 3rd day