Cancun is renowned for its picturesque beaches and tranquil atmosphere, perfect for a relaxing getaway. One of the top draws for visitors are the impressive beach hotels that offer not just a place to stay but also a variety of packages to enhance the experience. Recently, a popular beach hotel in Cancun is offering two weekend specials that cater to different preferences. Let’s dive into these deals and unravel the mystery behind the meal costs.

Weekend Specials Overview

The beach hotel in Cancun is currently running two exciting weekend specials:

A 2-night stay with 3 meals for $195 A 3-night stay with 5 meals for $300

These packages are designed to give guests a taste of the best that the hotel has to offer, combining exquisite accommodations with delicious meals in the scenic surroundings of Cancun.

Solving the Meal Cost Puzzle

The hotel has enchanted many with its clever pricing strategies, but have you ever wondered about the exact cost of a single meal? Let’s break down the mathematics behind it.

We know that:

A 2-night stay with 3 meals costs $195—equation 1 A 3-night stay with 5 meals costs $300—equation 2

Now, let's consider what might be the cost if a 6-night stay were offered with 9 or 10 meals. We can do this by setting up the following equations:

A 6-night stay with 9 meals costs $585—equation 3 (2 times equation 1) A 6-night stay with 10 meals costs $600—equation 4 (2 times equation 2)

By subtracting equation 3 from equation 4, we find the cost of a single meal:

$600 - $585 $15 per meal

This calculation reveals that the cost of a single meal, whether you’re staying for 2, 3, 6, or more nights, is $15. Thus, to find the cost for any given number of meals, you can simply multiply the number of meals by $15.

Mathematical Solution Using Simultaneous Linear Equations

To further validate this, let’s use simultaneous linear equations.

Let n represent the cost per night and m represent the cost per meal. We have the following equations based on the special deals:

2n 3m 195—equation 1 3n 5m 300—equation 2

Solving these equations:

Multiply equation 1 by 3 to align the coefficients of n: 6n 9m 585 Multiply equation 2 by 2 to align the coefficients of n: 6n 10m 600 Subtract the first transformed equation from the second: (6n 10m) - (6n 9m) 600 - 585 m 15 Substitute m 15 back into the first original equation to find n: 2n 3(15) 195 2n 45 195 2n 150 n 75

Therefore, the cost per night is $75 and the cost per meal is $15.

Conclusion

These weekend specials at the beach hotel in Cancun offer exceptional value for guests. With rates as low as $15 per meal, you can enjoy delicious cuisine during your stay. Whether it’s a romantic getaway or a family vacation, this hotel has all the amenities to make your trip truly memorable.

For more information on these special deals and to book your stay, visit the hotel’s official website or contact them directly. Happy travels!