Problema Solution
A car gets 22.5 mile per gallon (mpg) in the city and 30 mpg in the highway. The car is driven 465 miles on 18.4 gallons of gasoline. How many miles were driven on the highway?
Answer provided by our tutors
let
c = the miles passed in the city
h = the miles passed on the highway
the car is driven 465 miles on 18.4 gallons of gasoline
c + h = 465
the gallons spent in the city + the gallons spent on the highway = the total gallons of 18.4
c/22.5 + h/30 = 18.4
by solving the system of equations
c + h = 465
c/22.5 + h/30 = 18.4
we find
h = 204 miles
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the car drove 204 miles on the highway.