Question

Paul is looking at two vacation packages while planning a trip to Cancun, Mexico. In the first vacation package, round-trip airfare costs $799, and it costs $139 per night to stay at the resort. In the second vacation package, it costs $587 per night to stay in the resort and $285 for round-trip airfare. Let x represent the number of nights spent at the resort, and let y represent the total cost of the trip. Which system of equations could be used to find how many nights Paul needs to stay at either resort so that both vacation packages have the same cost? A. B. C. D.

Answer 1

y = 139x + $ 799

y = 587x + $ 285

Explanation:

Let x represent the number of days spent at the resort and y represent the total cost.

for the first option

y = 139x + $799 since $ 139 is the amount per night at the resort, $139x must be the cost for x number of days

y = 587x + $285 similarly x number of days should equal $587x