Samantha is going on vacation for the summer and is trying to choose between two different plans. the first plan costs $450 for 3 days at a hotel and 2 days at an amusement park. the second plan offers 5 days at the same hotel and 3 days at the amusement park for $700. the cost of 1 day at the hotel and the amusement park is the same under both plans. how much does a 1-day trip to the amusement park cost?