Questions: Survey results are shown in the diagram. How many students were surveyed? Choose the correct answer below. A. 145 students B. 175 students C. 125 students D. 70 students

Survey results are shown in the diagram. How many students were surveyed? Choose the correct answer below. A. 145 students B. 175 students C. 125 students D. 70 students
Transcript text: Survey results are shown in the diagram. How many students were surveyed? Choose the correct answer below. A. 145 students B. 175 students C. 125 students D. 70 students
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Solution

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Solution Steps

Step 1: Identify the Given Data

The Venn diagram shows the following:

  • 55 students like Classical Music only.
  • 70 students like Jazz only.
  • 20 students like both Classical Music and Jazz.
  • 30 students do not like either Classical Music or Jazz.
Step 2: Calculate the Total Number of Students

To find the total number of students surveyed, sum up all the groups:

  • Students who like only Classical Music: 55
  • Students who like only Jazz: 70
  • Students who like both Classical Music and Jazz: 20
  • Students who do not like either: 30
Step 3: Add the Numbers

Add the numbers from each group: \[ 55 + 70 + 20 + 30 = 175 \]

Final Answer

The total number of students surveyed is 175 students.

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