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in a survey of 93 resorts, it was found that 30 had a spa,39 had a childrens club,11 had a spa and children club, 9 had all three features, 56 had a fitness center, 16 had a spa and a fitness center and 20 had a fitness center and childrens club. how many of the resorts surveyed had only a spa?

2 Answers

6 votes

Based on the data,

- Starting with the resorts that have a spa, which are 30,
- We subtract those resorts that include both a spa and a children's club, which are 11, to exclude the ones with the latter feature.
- We now have (30 - 11) = 19 which are either only spa resorts or shared with a fitness center.
- However, we also need to exclude those that include both a spa and a fitness center which are 16.
- Now, we have (19 - 16) = 3.
- But, there are resorts that include all three features, which are 9. Since these have been subtracted twice in the previous steps, we now need to add them back.
- Therefore, the resorts that only have a spa are (3+9) = 12.

So, there are that have only a spa, according to the survey.

Answer: 12 resorts

User Adampasz
by
5.2k points
0 votes

I think it might be 30

User Timeon
by
5.5k points
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