Urgent, please help! Will give points and brainliest answer

In a survey of 110 resorts, it was found that:

33 had a spa.
67 had a fitness center.
45 had a children’s club.
17 had a spa and a fitness center.
10 had a spa and a children’s club.
23 had a fitness center and children’s club.
8 had all three features.

a) How many of the resorts surveyed had only a spa?
b) How many of the resorts surveyed had exactly one of these features?
c) How many of the resorts surveyed had at least one of these features?
d) How many of the resorts surveyed had exactly two of these features?
e) How many of the resorts surveyed had none of these features?

Many thanks to whoever is able to help.

Question

contestada

Respuesta :

Favouredlyf Favouredlyf · Answer 1 · 2020-01-25T04:41:41+01:00

Answer:

Step-by-step explanation:

The attached photo contains the Venn diagram with the circles representing the set of Spa's, fitness clubs and children clubs

The total number of resorts was 110

a) the number of the resorts that had only Spa is

33 - (2 + 8 + 9) = 14

b)the number of the resorts that had exactly one of these features is

Exactly Spa is 33 - (2 + 8 + 9) = 14

Exactly fitness center is 67 - (15 + 8 + 9) = 35

Exactly a children’s club is 45 - (2 + 8 + 15) = 20

14 + 35 + 20 = 69

c) the number of the resorts had at least one of these features would be

(14 + 35 + 20 + 2 + 15 + 9 + 8) = 103

d) the number of the resorts had exactly 2 of these features would be

2 + 15 + 9 = 26

e) the number of the resorts that none of these features would be

110 - 103 = 7