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Divya and sarah are staying in the same hotel. divya's room is located 18 floors above the lobby, and sarah's room is located 2 floors below the lobby. they decide to meet for dinner in the hotel café, which is located 5 floors above the lobby. how many more floors does divya have to travel than sarah?

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Final answer:

Divya must travel 6 more floors than Sarah to reach the hotel café. Divya descends 13 floors from her room, while Sarah ascends 7 floors from hers.

Step-by-step explanation:

The question asks us to compare the number of floors Divya and Sarah must travel to reach the café located 5 floors above the lobby. Divya's room is 18 floors above the lobby, and Sarah's room is 2 floors below the lobby.

First, we calculate how many floors Divya must descend to reach the café: 18 floors (Divya's room) - 5 floors (café) = 13 floors.

Now we calculate how many floors Sarah must ascend to reach the café: 5 floors (café) - -2 floors (Sarah's room), noting that subtracting a negative is equivalent to adding: 5 + 2 = 7 floors.

Finally, we determine how many more floors Divya must travel compared to Sarah: 13 floors (Divya) - 7 floors (Sarah) = 6 floors.

Therefore, Divya must travel 6 more floors than Sarah to reach the hotel café.

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