SOLUTION: You are trying to decide which of 2 cars to buy. An American made costs $14,500 and has a consumption of 28 miles/gallon. The other is Japanese, costs $21,700 and with a consumptio

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Question 582944: You are trying to decide which of 2 cars to buy. An American made costs $14,500 and has a consumption of 28 miles/gallon. The other is Japanese, costs $21,700 and with a consumption of 19km/litre.
If the cost of petrol is $2.50 per gallon, estimate the number of miles you will need to drive the second car to compensate for the higher cost of the car.

Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website!
You are trying to decide which of 2 cars to buy.
An American made costs $14,500 and has a consumption of 28 miles/gallon.
The other is Japanese, costs $21,700 and with a consumption of 19km/litre.
If the cost of petrol is $2.50 per gallon, estimate the number of miles you will need to drive the second car to compensate for the higher cost of the car.
:
Change 19 km to mile
.6214(19) = 11.8066 mi/liter
Change to mi/gal
11.8066 * 3.785 = 44.688 = 44.7 mi/gal
:
Let m = no. of miles for the total cost of be the same
:
2.50* + 14500 = 2.50* + 21700
.0893m + 14500 = .0559m + 21700
.0893m - .0559m = 21700 - 14500
.0334m = 7200
m = 7200/.0334
m = 215,569 mi for the total cost of each to be about the same
:
:
See if that works out
Acost = 2.50* + 14500
cost = $33,747
:
Jcost = 2.50* + 21700
cost = $33.756
: