Answer :
Let's find the price per night for each hotel and determine which one costs the least. Here is a detailed step-by-step solution:
1. Calculate the price per night for Hotel A:
- Hotel A has a total stay of 3 nights with a total price of [tex]$192. - To find the price per night, divide the total price by the number of nights: \[ \text{Price per night for Hotel A} = \frac{192}{3} = 64 \text{ dollars} \] 2. Calculate the price per night for Hotel B: - Hotel B has a total stay of 5 nights with a total price of $[/tex]300.
- To find the price per night, divide the total price by the number of nights:
[tex]\[ \text{Price per night for Hotel B} = \frac{300}{5} = 60 \text{ dollars} \][/tex]
3. Calculate the price per night for Hotel C:
- Hotel C has a total stay of 7 nights with a total price of $455.
- To find the price per night, divide the total price by the number of nights:
[tex]\[ \text{Price per night for Hotel C} = \frac{455}{7} = 65 \text{ dollars} \][/tex]
4. Compare the price per night for each hotel:
- Hotel A: 64 dollars per night
- Hotel B: 60 dollars per night
- Hotel C: 65 dollars per night
5. Determine which hotel has the least cost per night:
- Comparing the prices, we see that Hotel B costs the least per night at 60 dollars.
Therefore, the hotel that costs the least per night is:
(B) Hotel B
1. Calculate the price per night for Hotel A:
- Hotel A has a total stay of 3 nights with a total price of [tex]$192. - To find the price per night, divide the total price by the number of nights: \[ \text{Price per night for Hotel A} = \frac{192}{3} = 64 \text{ dollars} \] 2. Calculate the price per night for Hotel B: - Hotel B has a total stay of 5 nights with a total price of $[/tex]300.
- To find the price per night, divide the total price by the number of nights:
[tex]\[ \text{Price per night for Hotel B} = \frac{300}{5} = 60 \text{ dollars} \][/tex]
3. Calculate the price per night for Hotel C:
- Hotel C has a total stay of 7 nights with a total price of $455.
- To find the price per night, divide the total price by the number of nights:
[tex]\[ \text{Price per night for Hotel C} = \frac{455}{7} = 65 \text{ dollars} \][/tex]
4. Compare the price per night for each hotel:
- Hotel A: 64 dollars per night
- Hotel B: 60 dollars per night
- Hotel C: 65 dollars per night
5. Determine which hotel has the least cost per night:
- Comparing the prices, we see that Hotel B costs the least per night at 60 dollars.
Therefore, the hotel that costs the least per night is:
(B) Hotel B