Question

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

Answer 1

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.