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?

The cost of one night at the hotel is $125

Step-by-step explanation:

Let the cost of each night spend in hotel is = $x

Let the cost of each day of car rented = $y

Cannor spent 3 nights at a hotel and rented a car for 4 days paid $675.

 ......(1)

Jillian also spent 4 nights in same hotel and rented a car for 5 days paid $875.

 .......(2)

Now, we solve equation (1) and (2) by substitution method

From (1) take the value of x,  

then put in equation (2)

solve,

 (Taking LCM)

Now, put value of in value of  

Therefore, the cost of one night at the hotel is $125

step-by-step explanation: