In a class of students, some are studying Mathematics, some are studying Science
Practice Questions
Q1
In a class of students, some are studying Mathematics, some are studying Science, and some are studying both. If 20 students study Mathematics, 15 study Science, and 5 study both, how many students study only Mathematics? (2023)
10
15
20
5
Questions & Step-by-Step Solutions
In a class of students, some are studying Mathematics, some are studying Science, and some are studying both. If 20 students study Mathematics, 15 study Science, and 5 study both, how many students study only Mathematics? (2023)
Step 1: Identify the number of students studying Mathematics. This is given as 20 students.
Step 2: Identify the number of students studying Science. This is given as 15 students.
Step 3: Identify the number of students studying both Mathematics and Science. This is given as 5 students.
Step 4: To find the number of students studying only Mathematics, subtract the number of students studying both from the total number of students studying Mathematics.
Step 6: The result of the calculation shows that there are 15 students who study Mathematics, but we need to find only those who study Mathematics and not Science.
Step 7: Since 5 students study both, we need to subtract these from the 15 we just calculated: 15 - 5 = 10.
Step 8: Therefore, the number of students who study only Mathematics is 10.
