Question

a summer beach resort in mexico has 200 rooms. a cottage with a kitchen rents for $100 per day and a cabana rents for $80 per day. On a recent weekend, the resort was fully occupied and revenues were $17,300. How many of each type room does the resort have

Answer 1

The resort has 65 cottage with a kitchen rooms and 135 cabana rooms.

Step-by-step explanation:

Let's assume that the number of cottage with a kitchen rooms is x and the number of cabana rooms is y.

According to the given information, the revenue from cottages is $100 per day, and the revenue from cabanas is $80 per day.

Therefore, we can create the following equations:

100x + 80y = 17300

x + y = 200

We can solve this system of equations either by substitution or elimination method.

Let's use the elimination method:

Multiplying the second equation by 80 gives us:

80x + 80y = 16000

Subtracting this equation from the first equation:

(100x + 80y) - (80x + 80y) = 17300 - 16000

20x = 1300

x = 65

Substituting the value of x into the second equation:

65 + y = 200

y = 135

Therefore, the resort has 65 cottage with a kitchen rooms and 135 cabana rooms.