Question

Using the properties of real numbers (laws of signs) performs the following arithmetic operations. If you wish to make a trip to Huatulco, 4 days and 3 nights all inclusive, and you have 232 people in mind, the cost per person is $780 in a double room and $865 in a single room. If only 15 people do not make the trip and it is known that 75 double rooms were rented, how many single rooms were rented and what was the total amount of the trip?

Answer 1

First, you have 232 people in mind but 15 do not make the trip, So, the number of people that made the trip was:

232 - 15 = 217

On the other hand, 75 double rooms were rented and there are 2 people in every room, so the number of people for the double rooms are:

2*75 = 150

Now, if 217 people made the trip and 150 were double rooms, then, the number of single rooms that were rented was:

217 - 150 = 67

Because there is 1 person in every single room.

Finally the total amount of the trip was:

$780*150 + $865*67 = $117,000 + $57,955 = $174,955

Because there were 150 people in a double room and 67 people in a single room.

Answers: 67 single rooms

$174,955