Three set venn diagramA survey of 300 parks showed the following:15 had only camping20 had only hiking trails35 had only picnicking185 had camping140 had camping and hiking trails125 had camping and picnicking210 had hiking trailsDetermine the number of parks that:had at least one of these featureshad all three featuresdid not have any of these featureshad exactly two of these features

Question
Asked Sep 6, 2019
2 views

Three set venn diagram

A survey of 300 parks showed the following:

15 had only camping

20 had only hiking trails

35 had only picnicking

185 had camping

140 had camping and hiking trails

125 had camping and picnicking

210 had hiking trails

Determine the number of parks that:

  1. had at least one of these features
  2. had all three features
  3. did not have any of these features
  4. had exactly two of these features
check_circle

Expert Answer

star
star
star
star
star
1 Rating
Step 1

Denote camping by C, hiking by H and picnicking by P.

Step 2

Let x people had all three of that.

So, (140-x) people had only hiking and camping.

And (125-x) people had picnicking and camping.

20
35
X
140-X
125-X
15
C
T
help_outline

Image Transcriptionclose

20 35 X 140-X 125-X 15 C T

fullscreen
Step 3

210 people had hiking. So Number of people who had hiking and...

50
35
X
125-X
140-x
15
C
20
help_outline

Image Transcriptionclose

50 35 X 125-X 140-x 15 C 20

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Algebra

Other