121k views
2 votes
Resort A charges $55.50 per night, plus a one-time surcharge of $100 a night. Resort B charges $65.50 per night, plus a one-time surcharge of $50. After how many days is the cost the same?

A) 3
B) 4
C) 5
D) 6

1 Answer

5 votes

Final answer:

After 5 days, the cost of staying at Resort A and Resort B is the same, which can be determined by setting up and solving a linear equation for each resort.

Step-by-step explanation:

To determine after how many days the cost at Resort A and Resort B will be the same, we can set up an equation for each resort and find when they are equal. We'll let d represent the number of days.

For Resort A: Cost_A = $55.50d + $100

For Resort B: Cost_B = $65.50d + $50

Set them equal to each other to find out after how many days the costs will be the same:

  • $55.50d + $100 = $65.50d + $50
  • $100 - $50 = $65.50d - $55.50d
  • $50 = $10d
  • d = $50 / $10
  • d = 5

Therefore, after 5 days, the cost of staying at Resort A and Resort B will be the same.

User Zbess
by
8.1k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories