# 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 picknicking, 210 had hiking trailsDetermine the number of parks that a. Had at least one of these features b. Had all three features c. Did not have any of these features d.  Had exactly two of these featuresUse Venn Diagram.

Question

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 picknicking, 210 had hiking trails

Determine the number of parks that

a. Had at least one of these features

c. Did not have any of these features

d.  Had exactly two of these features

Use Venn Diagram.

Step 1

A denotes only camping = 15
C denotes only hiking = 20
G denotes only picnicking = 35
A+B+D+E denotes camping = 185
B+E denotes camping and hiking = 140
D+ E denotes camping and picnicking = 125
B+C+E+F denotes hiking = 210

A+B+D+E = 185 (B+E =140)
A+D = 185 -140 = 45 ( A= 15)
D = 45 -15 = 30
D = 30
D+ E = 125
E = 125 – 30 = 95
E = 95
A+B+D...

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