SOLUTION: Dana has driven 30 miles for every mile she has left to drive. The total number of miles to her final destination from the initial starting point is 651 miles. How far has she alre

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Question 1102816: Dana has driven 30 miles for every mile she has left to drive. The total number of miles to her final destination from the initial starting point is 651 miles. How far has she already driven?
Answer by ikleyn(52835) About Me  (Show Source):
You can put this solution on YOUR website!
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You may interpret the condition in this way: 

    The entire distance can be represented as some number of equal pieces each of the length 31 = 30 + 1 miles.


Now,  how many such pieces are there in  651 miles ?   - It is not difficult to answer:   651%2F31 = 21.

Therefore,  Dana just covered  21*30 = 630 miles,  and she has left to drive  21 mile.

You may check that  21*30 + 21*1 = 651, exactly as the condition states.


Solved.