SOLUTION: Dawn’s SUV gets 14 miles per gallon (mpg) in city driving and 23 mpg in highway driving. The SUV is driven 290 miles on 15 gallons of gasoline. How many miles were driven in the

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Question 182644: Dawn’s SUV gets 14 miles per gallon (mpg) in city driving and 23 mpg in highway driving. The SUV is driven 290 miles on 15 gallons of gasoline. How many miles were driven in the city and how many miles were driven on the highway?
Answer by Mathtut(3670) About Me  (Show Source):
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Dawn’s SUV gets 14 miles per gallon (mpg) in city driving and 23 mpg in highway driving. The SUV is driven 290 miles on 15 gallons of gasoline. How many miles were driven in the city and how many miles were driven on the highway?
:
let c and h be the number of gallons used in the city and highway respectively
:
c+h=15.............eq 1
14c+23h=290........eq 2
:
rewrite eq 1 to c=15-h and plug it into eq 2
:
14(15-h)+23h=290
:
210-14h+23h=290
:
9h=80
:
h=8.89number of gallons used on highway
:
c=15-h=6.11number of gallons use in city
:
appx miles driven in city 14(6.11)=highlight%2885.53%29
appx miles driven on hiwy 23(8.89)=highlight%28204.47%29