Question

7) Three-fifths of a hotel's rooms are occupied. An additional 23 rooms are reserved. A total of 127 rooms are being remodeled. How many total rooms are in the hotel?​

Answer 1

375

Explanation:

First of all, let's consider the following points;

●3/5 of the rooms are occupied

●23 rooms are being reserved

●127 rooms are being remodeled

The keyword is the 1st point.

If 3/5 is occupied, then that means 5/5 or 5 parts are the fraction of all the hotel rooms.

So,

127+23= 150 rooms

5/5 - 3/5 = 2/5

Now let's apply the direct proportion rule;

2/5= 150

1/5= 150÷2= 75

5/5 (total)= 75*5=375

If the whole fraction things make you confused, here's an easier way;

2 parts= 160

1 part= 150÷2=75

5 Parts = 75*5= 375

Hope it helps :-)!

Answer 2

375

Explanation:

- 150 rooms total unoccupied

- 3/5 occupied

this means that 150 rooms is 2/5 of the total, and 150 is 2/5 of 375, so 375 total