Please reason step by step, and put your final answer within \boxed{}.
Leila and her friends want to rent a car for their one-day trip that is 150 kilometers long each way. The first option for a car rental costs a certain amount a day, excluding gasoline. The second option costs $90 a day including gasoline. A liter of gasoline can cover 15 kilometers and costs $0.90 per liter. Their car rental will need to carry them to and from their destination. They will save $22 if they choose the first option rather than the second one. How much does the first option cost per day?
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