In a class there are 32 boys and 28 girls. The average age of the boys in the class is 14 years and the average age of the girls in the class is 13 years. What is the average age of the whole class?
Question
In a class there are 32 boys and 28 girls. The average age of the boys in the class is 14 years and the average age of the girls in the class is 13 years. What is the average age of the whole class?
Solution
To find the average age of the whole class, we first need to find the total age of all the students.
Step 1: Find the total age of the boys The average age of the boys is 14 years. So, the total age of the boys is 14 years * 32 boys = 448 years.
Step 2: Find the total age of the girls The average age of the girls is 13 years. So, the total age of the girls is 13 years * 28 girls = 364 years.
Step 3: Find the total age of all the students The total age of all the students is the total age of the boys + the total age of the girls = 448 years + 364 years = 812 years.
Step 4: Find the total number of students The total number of students is the number of boys + the number of girls = 32 boys + 28 girls = 60 students.
Step 5: Find the average age of all the students The average age of all the students is the total age of all the students divided by the total number of students = 812 years / 60 students = 13.53 years.
So, the average age of the whole class is approximately 13.53 years.
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