SOLUTION: The cab charges in a metro city include a fixed charge plus the charges for the distance covered. Jane traveled 10 miles and paid $75. For the ride of 15 miles, she paid $110. How

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: The cab charges in a metro city include a fixed charge plus the charges for the distance covered. Jane traveled 10 miles and paid $75. For the ride of 15 miles, she paid $110. How       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 942201: The cab charges in a metro city include a fixed charge plus the charges for the distance covered. Jane traveled 10 miles and paid $75. For the ride of 15 miles, she paid $110. How much did Jane pay to travel 25 miles?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = fixed charge
Let +b+ = charge for distance covered
-------------------
(1) +a+%2B+10b+=+75+
(2) +a+%2B+15b+=+110+
---------------------
Subtract (1) from (2)
(2) +a+%2B+15b+=+110+
(1) +-a+-+10b+=+-75+
+5b+=+35+
+b+=+7+
and
(1) +a+%2B+10%2A7+=+75+
(1) +a+=+5+
----------------
+5+%2B+25%2A7+=+x+
+x+=+180+
Jane paid $180 to travel 25 mi