Determine the ratios for the following scenarios.Rooms to guests in a hotel with 180 rooms and 270 guests.

To determine the ratio of rooms to guests in a hotel with 180 rooms and 270 guests, follow these steps:

1. Identify the two quantities that you are comparing. In this case, it's the number of rooms and the number of guests.

2. Write the ratio in the form "rooms : guests". In this case, it would be "180 : 270".

3. Simplify the ratio by dividing both numbers by their greatest common divisor. The greatest common divisor of 180 and 270 is 90. So, divide 180 by 90 to get 2, and divide 270 by 90 to get 3.

4. The simplified ratio of rooms to guests is 2:3. This means that for every 2 rooms, there are 3 guests.