SOLUTION: Connor went to New York for vacation. He spent 3 nights at a hotel and rented a car for 4 days. Jillian stayed at the same hotel, but spent 4 nights and rented a car for 5 days fro

Algebra ->  Linear-equations -> SOLUTION: Connor went to New York for vacation. He spent 3 nights at a hotel and rented a car for 4 days. Jillian stayed at the same hotel, but spent 4 nights and rented a car for 5 days fro      Log On


   

Question 633454: Connor went to New York for vacation. He spent 3 nights at a hotel and rented a car for 4 days. Jillian stayed at the same hotel, but spent 4 nights and rented a car for 5 days from the same company. If Connor paid $675 and Jillian paid $875, how much did one night at the hotel cost?
please show work
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Let x and y represent the cost of hotel(per night) and car(per day) respectively



 Question states***

 3x + 4y = 675

 4x + 5y = 875

Solve the above with the method of Your choice:

 x = $125  an y = $75