SOLUTION: Jesse rents a moving van for $75 and must pay $2 per mile. The following week, Alex rents the same van, is charged $80 for the rental and $1.50 per mile. If they each paid the same

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Jesse rents a moving van for $75 and must pay $2 per mile. The following week, Alex rents the same van, is charged $80 for the rental and $1.50 per mile. If they each paid the same      Log On

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Question 663197: Jesse rents a moving van for $75 and must pay $2 per mile. The following week, Alex rents the same van, is charged $80 for the rental and $1.50 per mile. If they each paid the same amount and drove the same number of miles, how far did they each travel?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +A+ = amount paid
Let +n+ = number of miles driven
Jesse's equation is
+A+=+75+%2B+2n+
Alex's equation is
+A+=+80+%2B+1.5n+
----------------
given:
+75+%2B+2n+=+80+%2B+1.5n+
+.5n+=+80+-+75+
+.5n+=+5+
+n+=+10+
The both drove 10 mi
check:
+A+=+75+%2B+2%2A10+
+A+=+95+
and
+A+=+80+%2B+1.5%2A10+
+A+=+80+%2B+15+
+A+=+95+
OK