Chapter 1.III, Problem 27RE

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8th Edition

Robert Brechner + 1 other

ISBN: 9781305585447

Textbook Problem

A 16-person college basketball team is going to a tournament in Boston. As the team manager, you are trying to find the best price for hotel rooms. The Windsor Hotel is quoting a price of $108 for 2 people in a room and $10 for each extra person. The Royale Hotel is quoting a price of $94 for 2 people in a room and $15 for each extra person. If the maximum number of people allowed in a room is 4, which hotel would be more economical?

To determine

Which hotel would be more economical, the Windsor hotel which has a price of $108 for 2 people in a room and $10 for each extra person or the Royale hotel which has a price of $94 for 2 people in a room and $15 for each extra person where total number of people are 16 and in a room maximum of 4 are allowed.

Explanation

**Given Information:**

Total number of people are 16.

Maximum number of people that can stay in a room are 4.

The Windsor hotel has a price of $108 for 2 people in a room and $10 for each extra person.

The Royale hotel has a price of $94 for 2 people in a room and $15 for each extra person.

The number of rooms required are

Consider the case of Windsor hotel,

In Windsor hotel price of 2 people in a room is $108 and charges for 2 extra persons will be $10 each.

Therefore, total price of one room in Windsor hotel will be,

So, the price of 4 rooms in the hotel will be,

Multiply.

Therefore, total price of the rooms in Windsor hotel is $512

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