SOLUTION: a salesperson purchased a car that avg 25mpg in the city and 40 mpg on highway. A recent sales trip that covered 1800 miles required 51 gal of gas. Assuming the advertised mileag

Question 395422: a salesperson purchased a car that avg 25mpg in the city and 40 mpg on highway. A recent sales trip that covered 1800 miles required 51 gal of gas. Assuming the advertised mileage estimates were correct, how many miles were driven in the city?
Answer by jrfrunner(365) (Show Source): You can put this solution on YOUR website!
you have two unknowns: C=gallons used in city driving and H=gallons used in highway driving
so you will need two equations to solve the two unknowns
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eq1 gallons used: C+H=51
eq2 miles driven: 25*C+40*H=1800
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solve eq1 for H: H=51-C and substitute in eq2
25*C+40*(51-C)=1800 solve for C
25C-40C+2040=1800
2040-1800=15C
C=240/15=16gallons used
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they want to know how many miles were driven in the city
25*C=25*16=400 miles
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