Question

Brianna went to Los Angeles for vacation. She spent 5 nights at a hotel and rented a car for 6 days. Justin stayed at the same hotel, but spent 7 nights and rented a car for 8 days from the same company. If Brianna paid $1170 and Justin paid $1610, how much did one night at the hotel cost?

Answer 1

Let n and c be the cost of a hotel room and 1 car rental, both per day.
Solve the following for n and c:
{5 n + 6 c =1170, 7 n + 8 c = 1610}
n = $150 per night