Problema Solution
A gas station has a car wash. If you get your gas tank filled, then you are charged a lower flat fee x in dollars for a car wash plus y dollars per gallon for the gasoline. Two cars fill up with regular gasoline and both get a car wash. One car uses 8 gallons of gasoline and pays $22.90 for the gas and car was and the other uses 6 gallons of gasoline and pays $18.60 for the gas and car wash. Find the fee for the car wash and the cost of one gallon of regular gasoline.
Answer provided by our tutors
one car uses 8 gallons of gasoline and pays $22.90 for the gas and car wash:
x + 8y = 22.90
the other uses 6 gallons of gasoline and pays $18.60 for the gas and car wash:
x + 6y = 18.60
by solving the system of equations
x + 8y = 22.90
x + 6y = 18.60
we find
x = $5.7
y = $2.15
click here to see the step by step solution of the system of equations
car wash costs $5.7 and $2.15 per gallon of gas.