The first night in a hotel costs 60 dollars. All additional nights cost 55 dollars. How many nights did we stay at this hotel if the total bill was 390 dollars?

Question

The first night in a hotel costs 60 dollars. All additional nights cost 55 dollars. How many nights did we stay at this hotel if the total bill was 390 dollars?

Answer 1

Let "n" be the number of nights we stay at the hotel and let "d" be the total dollars it costs. Then d = 5 + 55n (if n = 1, the total cost d is $60, if n = 2, the cost is $115, etc.)

To find n (the number of days) when d is 390 we just plug in 390 for d. So:

390 = 5 + 55n

385 = 55n

n = 385/55 = 7

Answer 2

Set up an equation like this:

Total cost = (cost of first night) + (cost of one additional night)x(number of additional nights)

n = number of additional nights = ?

390 = 60 + 55n

Total number of nights is n + 1.

Can you solve for n and finish from here?