A picnic is being planned in a school. Girls are 60% of the total numb...
Girls are 60% of the total number of students and are 18 in number.
Let say total students = T
Girls = (60/100)T
=> 18 = 3T/5
=> T = 30
Boys = 30 - 18 = 12
Ratio of Girls to boys = 18 : 12
=> 3 : 2
A picnic is being planned in a school. Girls are 60% of the total numb...
Understanding the Problem
To find the ratio of girls to boys in the class, we start by analyzing the information given.
Step 1: Determine Total Students
- The problem states that girls make up 60% of the total number of students.
- We know there are 18 girls.
Step 2: Set Up the Equation
- Let the total number of students be represented as "T".
- According to the information provided, we can express this as:
- 60% of T = 18
- This translates to the equation: 0.6T = 18
Step 3: Solve for Total Students
- To find T, we can rearrange the equation:
- T = 18 / 0.6
- T = 30
Step 4: Calculate Number of Boys
- Now that we know the total number of students (T = 30), we can find the number of boys.
- Since girls are 18, we can calculate boys as follows:
- Number of boys = Total students - Number of girls
- Number of boys = 30 - 18 = 12
Step 5: Find the Ratio
- The ratio of the number of girls to boys is given by:
- Ratio = Number of girls : Number of boys
- Ratio = 18 : 12
Step 6: Simplify the Ratio
- To simplify the ratio, divide both numbers by their greatest common divisor (GCD), which is 6:
- Simplified ratio = (18 ÷ 6) : (12 ÷ 6) = 3 : 2
Conclusion
Thus, the ratio of the number of girls to the number of boys in the class is 3:2. Therefore, the correct answer is option 'A'.