SOLUTION: the distance around one circular track is three times as far as the distance around a second circular track.if the sum of the distances around both tracks is 80 pie yards, what is

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Question 475294: the distance around one circular track is three times as far as the distance around a second circular track.if the sum of the distances around both tracks is 80 pie yards, what is the distance around the larger track?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +d%5B1%5D+ = diameter of 1st track
Let +d%5B2%5D+ = diameter of 2nd track
Distance around 1st track = +pi%2Ad%5B1%5D+
Distance around 2nd track = +pi%2Ad%5B2%5D+
given:
(1) +pi%2Ad%5B1%5D+=+3%2Api%2Ad%5B2%5D+
(2) +pi%2Ad%5B1%5D+%2B+pi%2Ad%5B2%5D+=+pi%2A80+
Substitute (1) into (2)
(2) +3%2Api%2Ad%5B2%5D+%2B+pi%2Ad%5B2%5D+=+pi%2A80+
(2) +4%2Ad%5B2%5D+=+80+
(2) +d%5B2%5D+=+20+
and
(1) +pi%2Ad%5B1%5D+=+3%2Api%2Ad%5B2%5D+
(1) +pi%2Ad%5B1%5D+=+60%2Api+
(1) +d%5B1%5D+=+60+
The distance around the larger track is +60%2Api+ yds