Let's solve each of the word problems step by step based on the information provided in the image.
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Problem 1:
A hotel has 7 floors. The lobby, restaurant and gym are located on the ground floor. The guestrooms are on the 1st to 6th floors. If there are 35 standard rooms on each floor, how many standard rooms are there?
####
Step-by-step Solution:
- The guestrooms are only on floors
1 to 6 (so 6 floors).
- Each of these floors has
35 standard rooms.
- So, total number of standard rooms =
$$
6 \text{ floors} \times 35 \text{ rooms per floor} = 210 \text{ rooms}
$$
✔ Answer: There are
210 standard rooms.
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Problem 2:
There are 4 housekeepers working on each floor. One room only requires one housekeeper. If the housekeepers try distributing the work equally, how many housekeepers need to clean more rooms than the others?
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Understanding the problem:
- There are
6 floors with guestrooms (floors 1–6).
- On
each floor, there are
35 rooms and
4 housekeepers.
- So,
total rooms per floor = 35, and
4 housekeepers share them.
- We want to divide 35 rooms among 4 housekeepers as
equally as possible.
####
Step-by-step:
- Divide 35 rooms by 4 housekeepers:
$$
35 \div 4 = 8 \text{ remainder } 3
$$
- This means:
- 3 housekeepers will clean
9 rooms each (since 8 + 1 extra),
- 1 housekeeper will clean
8 rooms.
- So,
3 housekeepers clean
more rooms than the other.
✔ Answer: 3 housekeepers need to clean more rooms than the others.
> Note: This is per floor. Since the question says "on each floor", and the distribution is the same per floor, the answer applies per floor —
3 housekeepers per floor clean more rooms.
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Problem 3:
If each standard room can fit 2 guests, what is the maximum number of guests that all the standard rooms can accommodate?
####
Step-by-step:
- From Problem 1: Total standard rooms =
210
- Each room fits
2 guests
- So, total guests =
$$
210 \times 2 = 420
$$
✔ Answer: The hotel can accommodate a maximum of
420 guests.
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✔ Final Answers:
1.
210 standard rooms
2.
3 housekeepers need to clean more rooms than the others (per floor)
3.
420 guests maximum
Let me know if you'd like a visual explanation or diagram!
Parent Tip: Review the logic above to help your child master the concept of division word problems 4th grade worksheet.
