Question

Jalen is planning a trip to New York City.  His plane ticket costs $750.00 and the hotel will cost $125.00 each night.  If he wants to spend no more than $1,400.00, how many nights can

Answer 1

To find out how many nights Jalen can stay in New York City while staying within his budget of $1,400.00, we first need to account for his plane ticket cost and then determine how much he can spend on the hotel.

1. **Total Budget**: $1,400.00
2. **Cost of Plane Ticket**: $750.00

First, we subtract the cost of the plane ticket from the total budget:

\[
\text{Budget Remaining for Hotel} = \text{Total Budget} - \text{Cost of Plane Ticket} = 1400 - 750 = 650
\]

Now that we know Jalen has $650.00 left for the hotel, we can calculate how many nights he can stay at the rate of $125.00 per night.

Let \( n \) represent the number of nights he stays. The equation for the hotel cost will be:

\[
\text{Cost of Hotel} = 125n
\]

We need this cost to be less than or equal to the available budget for the hotel:

\[
125n \leq 650
\]

To find \( n \), we can solve this inequality:

\[
n \leq \frac{650}{125}
\]

Calculating the right-hand side:

\[
\frac{650}{125} = 5.2
\]

Since \( n \) must be a whole number (you can't stay for a fraction of a night), we round down to the nearest whole number:

\[
n \leq 5
\]

Therefore, Jalen can stay for a maximum of **5 nights** in the hotel while staying within his budget of $1,400.00.