Problema Solution

Two cars get an oil change at the same service center. Each customer is charged a fee x(in dollars) for the oil change plus y dollars per quart of oil used. The Honda Accord requires 5 quarts of oil for a total of $22.45. The Honda Element requires 7 quarts of oil for a total of $25.45. Find the fee and cost per quart of oil.

Answer provided by our tutors

The Honda Accord oil changes for 5 quarts costs


x + y*5 = 22.45


The Honda Element oil changes for 7 quarts costs


x + y*7 = 25.45


We need to find x and y that is solve the following system of equations


x + y*5 = 22.45

x + y*7 = 25.45


x = $14.95

y = $1.5


The fee for the oil change is $14.95 plus $1.5 per quart of oil used.