Question

1. the venn diagram below shows survey results of cities visited by group of people on a recent trip to europe.

a. how many people visited dublin or london? ______
b. how many people visited london and paris? ______
c. how many people visited london or paris? ______
d. how many people visited dublin and not london?______
e. how many people only visited dublin? ______
f. how many people visited dublin and paris? ______
g. how many people visited all three cities? ______
h. how many people visited london? ______
i. how many people took the survey? ______

1. on a recent field trip to cedar point, students reported which rollercoasters they went on. the venn diagram below represents the results of the survey.

a. how many students just went on the maverick? ______
b. how many students went on the blue streak or the millennium force? ______
c. how many students went on the millennium force and maverick? ______
d. how many students went on the blue streak?______
e. how many students went on the blue streak and maverick, but not the millennium force? ______

Explanation:

For Question 5:

Step1: Solve (a): Dublin or London

Sum all Dublin, London, and shared regions, exclude none.
$89 + 64 + 31 + 43 + 24 + 76 = 327$

Step2: Solve (b): London and Paris

Sum London-Paris overlap and all three.
$64 + 24 = 88$

Step3: Solve (c): London or Paris

Sum all London, Paris, and shared regions.
$95 + 64 + 89 + 43 + 24 + 31 = 346$

Step4: Solve (d): Dublin and not London

Sum Dublin-only and Dublin-Paris overlap.
$76 + 43 = 119$

Step5: Solve (e): Only Dublin

Take Dublin-only region value.
$76$

Step6: Solve (f): Dublin and Paris

Sum Dublin-Paris overlap and all three.
$43 + 24 = 67$

Step7: Solve (g): All three cities

Take the central triple overlap value.
$24$

Step8: Solve (h): Visited London

Sum all London regions.
$89 + 64 + 31 + 24 = 208$

Step9: Solve (i): Total survey respondents

Sum all regions including outside.
$78 + 95 + 89 + 76 + 64 + 43 + 31 + 24 = 500$

Step1: Solve (a): Just Maverick

Take Maverick-only region value.
$27$

Step2: Solve (b): Blue Streak or Millennium Force

Sum all Blue Streak, Millennium Force, and shared regions.
$24 + 10 + 21 + 14 + 19 + 38 = 126$

Step3: Solve (c): Millennium Force and Maverick

Sum Millennium-Maverick overlap and all three.
$19 + 14 = 33$

Step4: Solve (d): Visited Blue Streak

Sum all Blue Streak regions.
$24 + 10 + 21 + 14 = 69$

Step5: Solve (e): Blue Streak & Maverick, not Millennium

Take Blue Streak-Maverick only overlap.
$10$

Answer:

a. 327
b. 88
c. 346
d. 119
e. 76
f. 67
g. 24
h. 208
i. 500

---

For Question 6: