The Royal Express Theme Park and Resort is offering two promotional packages for its guests to choose from. The Deluxe Package, which includes 5 nights in a standard room, costs $495. The Platinum Package, which includes 7 nights in an upgraded room, costs $833. How much more does the Platinum Package cost per night?

Question

$ per night

Answer 1

To find out how much more the Platinum Package costs per night compared to the Deluxe Package, we need to calculate the cost per night for each package and then compare the two.

1. Deluxe Package Cost per Night: \[ \text{Deluxe Package Cost} = 495 \text{ dollars} \] \[ \text{Nights} = 5 \] \[ \text{Cost per night (Deluxe)} = \frac{495}{5} = 99 \text{ dollars per night} \]

2. Platinum Package Cost per Night: \[ \text{Platinum Package Cost} = 833 \text{ dollars} \] \[ \text{Nights} = 7 \] \[ \text{Cost per night (Platinum)} = \frac{833}{7} \approx 119 \text{ dollars per night} \]

3. Difference in Cost per Night: \[ \text{Difference} = \text{Cost per night (Platinum)} - \text{Cost per night (Deluxe)} \] \[ \text{Difference} = 119 - 99 = 20 \text{ dollars per night} \]

Thus, the Platinum Package costs $20 more per night than the Deluxe Package.