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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 tot
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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?
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Mathematics
5 years
2021-07-23T05:45:19+00:00
2021-07-23T05:45:19+00:00 2 Answers
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Answer:
375
Step-by-step 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:
375
Step-by-step 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