you are a travel agent. a customer requires a hotel reservation for four nights. you are considering two…

you are a travel agent. a customer requires a hotel reservation for four nights. you are considering two hotels. the first usually charges $168 per night, including all taxes and fees, but will give a discount of $40 per night. the second charges $185 per night, including all taxes and fees, and will offer one night for free. what is the final price of the four - night reservation representing a better deal? $504 $512 $555 $580 $672

you are a travel agent. a customer requires a hotel reservation for four nights. you are considering two hotels. the first usually charges $168 per night, including all taxes and fees, but will give a discount of $40 per night. the second charges $185 per night, including all taxes and fees, and will offer one night for free. what is the final price of the four - night reservation representing a better deal? $504 $512 $555 $580 $672

Answer

Explanation:

Step1: Calculate price of first hotel

The original price per night of the first hotel is $168 and the discount is $40 per night. So the discounted - price per night is $168 - 40=128$. For a 4 - night stay, the total price is $128\times4$. $128\times4=(100 + 20+8)\times4=100\times4+20\times4 + 8\times4=400+80 + 32=512$.

Step2: Calculate price of second hotel

The second hotel charges $185 per night and offers one night for free for a 4 - night reservation. So the customer only pays for 3 nights. The total price is $185\times3$. $185\times3=(100 + 80+5)\times3=100\times3+80\times3+5\times3=300 + 240+15=555$.

Step3: Compare prices

Since $512<555$, the first hotel is a better deal and its price is $512$.

Answer:

$512$