Question

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?

Answer 1

well this is a pair of linear equations that can be solved simultaneously

Connor : 3h + 4c = 675 (1)
Jillian : 4h + 5c = 875 (2)

multiply equation (1) by 5 and (2) by 4 then subtract the equations.

this will eliminate c

15h + 20c = 3375
- 16h + 20c = 3500
------------------------
-h = - 125

I'll let you finish the solution.

hope it helps

Answer 2

125?