In a class of 50 students, 20 study English, 25 study Mathematics, and 10 study both. How many students study only one subject?
Practice Questions
1 question
Q1
In a class of 50 students, 20 study English, 25 study Mathematics, and 10 study both. How many students study only one subject?
35
25
15
45
The number of students studying only English is 20 - 10 = 10, and only Mathematics is 25 - 10 = 15. Thus, total studying only one subject is 10 + 15 = 25.
Questions & Step-by-step Solutions
1 item
Q
Q: In a class of 50 students, 20 study English, 25 study Mathematics, and 10 study both. How many students study only one subject?
Solution: The number of students studying only English is 20 - 10 = 10, and only Mathematics is 25 - 10 = 15. Thus, total studying only one subject is 10 + 15 = 25.
Steps: 6
Step 1: Identify the number of students studying English, which is 20.
Step 2: Identify the number of students studying Mathematics, which is 25.
Step 3: Identify the number of students studying both subjects, which is 10.
Step 4: Calculate the number of students studying only English by subtracting those who study both from those who study English: 20 - 10 = 10.
Step 5: Calculate the number of students studying only Mathematics by subtracting those who study both from those who study Mathematics: 25 - 10 = 15.
Step 6: Add the number of students studying only English and only Mathematics to find the total number of students studying only one subject: 10 + 15 = 25.
