# SOLUTION: Twice last month, Alice rented a car from the same company. She was charged a daily fee, plus an additional charge per mile driven. The first trip lasted 4 days, she drove 380 mile

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations -> SOLUTION: Twice last month, Alice rented a car from the same company. She was charged a daily fee, plus an additional charge per mile driven. The first trip lasted 4 days, she drove 380 mile      Log On

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 Click here to see ALL problems on Linear Equations And Systems Word Problems Question 633277: Twice last month, Alice rented a car from the same company. She was charged a daily fee, plus an additional charge per mile driven. The first trip lasted 4 days, she drove 380 miles, and the rental cost her \$180.20. On her second trip she drove 625 miles in 5 days, and paid \$253.75 for the rental. Find the daily fee and the mileage charge.Answer by mananth(12270)   (Show Source): You can put this solution on YOUR website!x Rate per mile y daily charge Total memberships 180 x + 4 y = 180.20 .............1 625 x + 5 y = 253.75 .............2 Eliminate y multiply (1)by -5 Multiply (2) by 4 -900 x -20 y = -901 2500 x + 20 y = 1015 Add the two equations 1600 x = 114 / 1600 x = 0.07 0.07 *100 = 7 cents/mile plug value of x in (1) 180 x + 4 y = 180 13 + 4 y = 180 4 y = 180 -13 4 y = 167 y = 42 7 cents per mile & \$42 per day