hey please help with this 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?

Question

hey please help with this 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?

anonymous · Answer

5n + 6c = 1170
7n + 8c = 1610

solve the simultaneous equations to get

n = $150