Data set 1: The Lagoon Hotel

Guests staying at the Lagoon Hotel choose a two- or five-day package and select on either package either accommodation only, half board or full board. On one evening the hotel has a total of 48 guests, 17 of whom have chosen the two-day package. Of the remaining guests (on the five-day package), 16 have opted for accommodation only while 3 have selected half board.

Additional information:

• That night a total of 21 guests had selected accommodation only.
• In total, 20 guests have selected full board.



1. On the evening in question, how many guests had selected the five-day package?

A 28
B 29
C 30
D 31
Answer ( )

2. How many guests staying in the hotel that evening on the five-day package had selected full board?
A 12
B 19
C 20
D 21
Answer ( )


3. How many guests on the two-day package had selected accommodation only?
A 5
B 17
C 21
D There is insufficient information to answer the question.
Answer ( )


4. Of the guests who had selected full board, how many were on the two-day package?
A 1
B 8
C 11
D 19
Answer ( )

5. In total, how many guests that evening had selected half board?
A 3
B 5
C 7
D 9
Answer ( )

6. How many guests on the two-day package selected half board?
A 8
B 5
C 4
D 2
Answer ( )

7. Which statement is true?
A On the five-day package twice as many people are half board compared to full board.
B On the two-day package twice as many people are half board compared to full board.
C On the five-day package half as many people are on half board compared to full board.
D On the two-day package half as many people are on half board compared to full board.
Answer ( )


8. How many people on the two-day package are NOT on full board?
A 8
B 9
C 10
D 11
Answer ( )



9. Which is the most popular option?
A Accommodation only on the five-day package
B Full board on the five-day package
C Full board on the two-day package
D Half board on the two-day package
Answer ( )


10. What fraction of the total number of guests opted for full board on the five-day package?
A 1/2
B 1/5
C 1/3
D 1/4 Answer ( )