SOLUTION: A car gets 22.5 miles per gallon(mpg) in the city and 30mpg on the highway. The car is driven 465 miles on 18.4 gallons of gasoline. How many miles were driven in the city and ho

Algebra ->  Rate-of-work-word-problems -> SOLUTION: A car gets 22.5 miles per gallon(mpg) in the city and 30mpg on the highway. The car is driven 465 miles on 18.4 gallons of gasoline. How many miles were driven in the city and ho      Log On


   

Question 1001454: A car gets 22.5 miles per gallon(mpg) in the city and 30mpg on the highway. The car is driven 465 miles on 18.4 gallons of gasoline. How many miles were driven in the city and how many miles were driven on the highway?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be the miles traveled in city 
               Fuel Efficiency     Fuel Volume    Distance

City              22.5             x/22.5          x

Highway           30              (465-x)/30       465-x

Total                             18.4              465

x%2F22.5%2B%28465-x%29%2F30=18.4
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Multiply left and right sides by %2822.5%29%2830%29%7D%7D%3B%0D%0A%0D%0A%7B%7B%7B30x%2B10462.5-22.5x=12420
7.5x=12420-10462.5
.
x=261

City: 261 miles
Highway: 204 miles