In a set of 150 students, 90 study English, 70 study History, and 30 study both. How many students study only History?
Practice Questions
1 question
Q1
In a set of 150 students, 90 study English, 70 study History, and 30 study both. How many students study only History?
40
30
50
60
The number of students who study only History is |History| - |Both| = 70 - 30 = 40.
Questions & Step-by-step Solutions
1 item
Q
Q: In a set of 150 students, 90 study English, 70 study History, and 30 study both. How many students study only History?
Solution: The number of students who study only History is |History| - |Both| = 70 - 30 = 40.
Steps: 5
Step 1: Identify the total number of students studying History, which is 70.
Step 2: Identify the number of students studying both English and History, which is 30.
Step 3: To find the number of students studying only History, subtract the number of students studying both from the total number studying History: 70 - 30.
Step 4: Calculate the result: 70 - 30 = 40.
Step 5: Conclude that 40 students study only History.
