Asked by Yin
A car goes 18 miles on a gallon of gas in city driving and 24 miles on the highway. If the car goes 465 miles on a full tank of 23 gallons of gas, how many miles were driven in the city and how many miles were driven on the highway?
Answers
Answered by
Reiny
miles on the highway --- x
miles in the city ----- 465-x
gallons used on highway = x/24
gallons used in city = (465-x)/18
x/24 + (465-x)/18 = 23
multiply each term by 72 , the LCD
3x + 4(465-x) = 1656
3x + 1860 - 4x = 1656
-x=-204
x = 204
Miles on the highway were 204
check:
highway: 204, number of gallons = 8.5
city: 261, number of gallons = 14.5
8.5 +14.5 = 23
miles in the city ----- 465-x
gallons used on highway = x/24
gallons used in city = (465-x)/18
x/24 + (465-x)/18 = 23
multiply each term by 72 , the LCD
3x + 4(465-x) = 1656
3x + 1860 - 4x = 1656
-x=-204
x = 204
Miles on the highway were 204
check:
highway: 204, number of gallons = 8.5
city: 261, number of gallons = 14.5
8.5 +14.5 = 23
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