SOLUTION: a ride in a taxi costs 2.95 plus .95 per sixth of a mile. A person's far for a ride was $14.35. How far (in miles) did the person travel?

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Question 622378: a ride in a taxi costs 2.95 plus .95 per sixth of a mile. A person's far for a ride was $14.35. How far (in miles) did the person travel?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
The total cost (C) of the taxi ride can be expressed by:
C+=+2.95%2B0.95%286%2Am%29 Where m = number of miles travelled. Set C = $14.35
14.35+=+2.95%2B0.95%286%2Am%29 Subtract 2.95 from both sides.
11.4+=+0.95%286%2Am%29 Perform the indicated multiplication..
11.4+=+5.7m Finally, divide both sides by 5.7
m+=+2miles.
Note: We used 6*m because if it cost $0.95 for one sixth of a mile, then it cost six times for one mile, hence the 6*m.