Question

Merissa and mykuria are planning a trip to Orlando to celbrate graduation. They want to buy a three-day ticket to their favorit but the also need to find a place to stay during their trip. theme park, which costs $299 per person but they also need ti find a place to stay during their trip. They found a beatiful vacation rental in Orlando that has room for a number of guests and costs a total of$872.50. If Marissa and Mykuria are able to fill the room up to its maximum capacity with their friends, the price that each person would have to pay for the entire trip would be 361.25.

1. mocmien2
The number of people for the trip is 14

How to determine the number of people for the trip?

From the question, we have the following parameters that can be used in our computation:
Place to stay during the trip = $299 per person Place to rent during the trip =$872.50
Amount to pay by each friend = \$361.25
Represent the number of people with x
So, we have the following equation
Place to stay during the trip * number of people + Place to rent during the trip = Amount to pay by each friend * number of people
Substitute the known values in the above equation, so, we have the following representation
299x + 872.50 = 361.25x
Collect the like terms
This gives
361.25x – 299x = 872.50
So, we have
62.25x = 872.50
Divide both sides by 62.25
x = 14 (approximated)
Hence, the number of people is 14